Approximation properties for multiplier algebras of reproducing kernel Hilbert spaces

被引：0

作者：

Barbian, Christoph ^{[1
]}

机构：

[1] Univ Saarland, Fachrichtung Math 6 1, D-66041 Saarbrucken, Germany

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2009年 / 75卷 / 3-4期

关键词：

operator algebras; reproducing kernel Hilbert spaces; multipliers of reproducing kernel Hilbert spaces; approximation properties;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, it is proved that multiplier algebras of analytic reproducing kernel Hilbert spaces which are compatible with the action of the torus group possess Kraus' completely contractive approximation property (CCAP) and, consequently, have the Property Ss. Our results apply in particular to the usual reproducing kernel Hilbert spaces on bounded symmetric domains.

引用

页码：655 / 663

页数：9

共 50 条

[21] RELATIVE REPRODUCING KERNEL HILBERT SPACES
Alpay, Daniel
Jorgensen, Palle
Volok, Dan
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (11) : 3889 - 3895
[22] On isomorphism of reproducing kernel Hilbert spaces
Napalkov, V. V.
Napalkov, V. V., Jr.
DOKLADY MATHEMATICS, 2017, 95 (03) : 270 - 272
[23] Continuous-time Value Function Approximation in Reproducing Kernel Hilbert Spaces
Ohnishi, Motoya
Yukawa, Masahiro
Johansson, Mikael
Sugiyama, Masashi
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 31 (NIPS 2018), 2018, 31
[24] Reproducing Kernel Hilbert Spaces and fractal interpolation
Bouboulis, P.
Mavroforakis, M.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (12) : 3425 - 3434
[25] Distance Functions for Reproducing Kernel Hilbert Spaces
Arcozzi, N.
Rochberg, R.
Sawyer, E.
Wick, B. D.
FUNCTION SPACES IN MODERN ANALYSIS, 2011, 547 : 25 - +
[26] Uncertainty Principle in Reproducing Kernel Hilbert Spaces
Sala, Jamaluddin S.
Canton, Recson G.
Lintasan, Abdurajan B.
Rasid, Regimar A.
Artes Jr, Rosalio G.
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2024, 19 (04): : 1273 - 1279
[27] Composition in Reproducing Kernel Hilbert Spaces a Rebours
Szafraniec, Franciszek Hugon
OPERATOR AND MATRIX THEORY, FUNCTION SPACES, AND APPLICATIONS, IWOTA 2022, 2024, 295 : 365 - 384
[28] OPERATOR INEQUALITIES IN REPRODUCING KERNEL HILBERT SPACES
Yamanci, Ulas
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2022, 71 (01): : 204 - 211
[29] Metamorphosis of images in reproducing kernel Hilbert spaces
Casey L. Richardson
Laurent Younes
Advances in Computational Mathematics, 2016, 42 : 573 - 603
[30] Symmetric Operators and Reproducing Kernel Hilbert Spaces
Martin, R. T. W.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2010, 4 (04) : 845 - 880

← 1 2 3 4 5 →