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Kaijser, Sten

Open this publication in new window or tab >>Some approximation properties and nuclear operators in spaces of analytical functions### Kaijser, Sten

### Reinov, Oleg, I

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_some",{id:"formSmash:j_idt184:0:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_otherAuthors",{id:"formSmash:j_idt184:0:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: ADVANCES IN OPERATOR THEORY, ISSN 2538-225X, Vol. 4, no 1, p. 265-283Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

TUSI MATHEMATICAL RESEARCH GROUP, 2019
##### Keywords

Nuclear operator, tensor product, approximation property, space of bounded analytical functions
##### National Category

Mathematical Analysis
##### Identifiers

urn:nbn:se:uu:diva-367007 (URN)10.15352/aot.1805-1360 (DOI)000445969300013 ()
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Available from: 2018-11-28 Created: 2018-11-28 Last updated: 2018-11-28Bibliographically approved

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.

St Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, Russia.

We introduce and investigate a new notion of the approximation property AP([c]), where c = (c(n)) is an arbitrary positive real sequence, tending to infinity. Also, we study the corresponding notion of [c]-nuclear operators in Banach spaces. Some characterization of the AP([c]) in terms of tensor products, as well as sufficient conditions for a Banach space to have the AP([c]), are given. We give also sufficient conditions for a positive answer to the question: When it follows from the [c]-nuclearity of an adjoint operator the nuclearity of the operator itself. Obtained results are applied then to the study of properties of nuclear operators in some spaces of analytical functions. Many examples are given.

Open this publication in new window or tab >>Three systems of orthogonal polynomials and L-2-boundedness of two associated operators### Musonda, John

### Kaijser, Sten

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_some",{id:"formSmash:j_idt184:1:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_otherAuthors",{id:"formSmash:j_idt184:1:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 459, no 1, p. 464-475Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

ACADEMIC PRESS INC ELSEVIER SCIENCE, 2018
##### Keywords

Orthonormal basis, Hilbert space, Convolution operator
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:uu:diva-338945 (URN)10.1016/j.jmaa.2017.10.040 (DOI)000418310900027 ()
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Available from: 2018-01-18 Created: 2018-01-18 Last updated: 2018-01-18Bibliographically approved

Malardalen Univ, Div Appl Math, Box 883, S-72123 Vasteras, Sweden..

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.

In this paper, we describe three systems of orthogonal polynomials belonging to the class of Meixner-Pollaczek polynomials, and establish some useful connections between them in terms of three basic operators that are related to them. Furthermore, we investigate boundedness properties of two other operators, both as convolution operators in the translation invariant case where we use Fourier transforms and for the weights related to the relevant orthogonal polynomials. We consider only the most important but also simplest case of L-2-spaces. However, in subsequent papers, we intend to extend the study to L-p-spaces (1 < p < infinity).

Open this publication in new window or tab >>Higher moments of Banach space valued random variables### Janson, Svante

### Kaijser, Sten

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_some",{id:"formSmash:j_idt184:2:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_otherAuthors",{id:"formSmash:j_idt184:2:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_otherAuthors",multiple:true}); 2015 (English)In: Memoirs of the American Mathematical Society, ISSN 0065-9266, E-ISSN 1947-6221, Vol. 238, no 1127, p. 1-110Article in journal (Refereed) Published
##### Abstract [en]

##### National Category

Mathematics
##### Identifiers

urn:nbn:se:uu:diva-287527 (URN)10.1090/memo/1127 (DOI)000372829500001 ()
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##### Funder

Knut and Alice Wallenberg Foundation
Available from: 2016-04-25 Created: 2016-04-25 Last updated: 2017-11-30Bibliographically approved

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.

We define the k:th moment of a Banach space valued random variable as the expectation of its k: th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space. We study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals. One of the problems studied is whether two random variables with the same injective moments (of a given order) necessarily have the same projective moments; this is of interest in applications. We show that this holds if the Banach space has the approximation property, but not in general. Several chapters are devoted to results in special Banach spaces, including Hilbert spaces, C(K) and D[0,1]. The latter space is non-separable, which complicates the arguments, and we prove various preliminary results on e.g. measurability in D[0,1] that we need. One of the main motivations of this paper is the application to Zolotarev metrics and their use in the contraction method. This is sketched in an appendix.

Open this publication in new window or tab >>Sonja Lyttkens: Minnesord### Ekstig, Kerstin

### Kaijser, Sten

### Kiselman, Christer O.

### Lindahl, Lars-Åke

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_some",{id:"formSmash:j_idt184:3:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_some",multiple:true}); ### Vretblad, Anders

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_otherAuthors",{id:"formSmash:j_idt184:3:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_otherAuthors",multiple:true}); Show others...PrimeFaces.cw("SelectBooleanButton","widget_formSmash_j_idt184_3_j_idt188_j_idt202",{id:"formSmash:j_idt184:3:j_idt188:j_idt202",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_j_idt202",onLabel:"Hide others...",offLabel:"Show others..."}); 2015 (Swedish)In: Upsala Nya Tidning, Vol. 125, no 12, p. B13-B13Article in journal, News item (Other (popular science, discussion, etc.)) Published
##### Abstract [en]

##### National Category

Mathematics
##### Identifiers

urn:nbn:se:uu:diva-241692 (URN)
#####

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Available from: 2015-01-14 Created: 2015-01-15 Last updated: 2015-12-28Bibliographically approved

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Visual Information and Interaction.

Sonja Lyttkens was born in 1919 and died in 2014. She was the second woman to get a PhD in mathematics in Sweden, and the first to become a university lecturer.

Open this publication in new window or tab >>Hardy spaces for the strip### Bakan, Andrew

### Kaijser, Sten

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##### Series

UUDM ; 2006:13
##### Identifiers

urn:nbn:se:uu:diva-23815 (URN)
#####

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Available from: 2007-02-01 Created: 2007-02-01

Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.

Open this publication in new window or tab >>Hardy-type inequalities via convexity### Kaijser, Sten

### Nikolova, L.

### Persson, Lars-Erik

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_some",{id:"formSmash:j_idt184:5:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_otherAuthors",{id:"formSmash:j_idt184:5:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_otherAuthors",multiple:true}); 2005 (Swedish)In: MATHEMATICAL INEQUALITIES & APPLICATIONS, Vol. 8, no 3, p. 403-417Article in journal (Refereed) Published
##### Identifiers

urn:nbn:se:uu:diva-77574 (URN)
#####

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Available from: 2006-04-18 Created: 2006-04-18 Last updated: 2011-01-11

Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.

Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.

Open this publication in new window or tab >>On Hardy-type inequalities via convexity### Persson, Lars-Erik

Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.### Kaijser, Sten

Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.### Nikolova, L.

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_some",{id:"formSmash:j_idt184:6:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_otherAuthors",{id:"formSmash:j_idt184:6:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_otherAuthors",multiple:true}); 2005 (English)In: Math. Inequal. Appl, no 3, p. 403-417Article in journal (Refereed) Published
##### Identifiers

urn:nbn:se:uu:diva-77637 (URN)
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Available from: 2006-04-18 Created: 2006-04-18 Last updated: 2011-01-11

Open this publication in new window or tab >>Biography of Matts Essén.### Kaijser, Sten

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_some",{id:"formSmash:j_idt184:7:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_otherAuthors",{id:"formSmash:j_idt184:7:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_otherAuthors",multiple:true}); 2004 (English)In: Complex Var. Theory Appl., no 49, p. 7-9Article in journal (Other (popular scientific, debate etc.)) Published
##### Identifiers

urn:nbn:se:uu:diva-71119 (URN)
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Available from: 2005-04-29 Created: 2005-04-29 Last updated: 2011-01-12

Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics.

Open this publication in new window or tab >>Real interpolation of Banach algebras and factorization of weakly compact homomorphisms### Blanco, A.

### Kaijser, Sten

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.### Ransford, T. J.

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_some",{id:"formSmash:j_idt184:8:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_otherAuthors",{id:"formSmash:j_idt184:8:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_otherAuthors",multiple:true}); 2004 (English)In: Journal of functional analysis, ISSN 1096-0783, Vol. 217, no 1, p. 126-141Article in journal (Refereed) Published
##### Identifiers

urn:nbn:se:uu:diva-71113 (URN)10.1016/j.jfa.2004.03.011 (DOI)
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Available from: 2005-04-29 Created: 2005-04-29 Last updated: 2009-10-08Bibliographically approved

Open this publication in new window or tab >>On Carleman and Knopp's inequalities### Kaijser, Sten

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.### Persson, Lars-Erik

### Öberg, Anders

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_some",{id:"formSmash:j_idt184:9:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_otherAuthors",{id:"formSmash:j_idt184:9:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_otherAuthors",multiple:true}); 2002 (English)In: Journal of Approximation Theory, ISSN 0021-9045, E-ISSN 1096-0430, Vol. 117, no 1, p. 140-151Article in journal (Refereed) Published
##### National Category

Mathematical Analysis
##### Identifiers

urn:nbn:se:uu:diva-44524 (URN)10.1006/jath.2002.3684 (DOI)
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Available from: 2007-01-23 Created: 2007-01-23 Last updated: 2017-12-05Bibliographically approved

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.

Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.