Geometric Properties of Reproducing Kernels in Hilbert Spaces of Entire Functions

2021 ◽  
pp. 25-30
Author(s):  
Yurii Belov
Keyword(s):  
Hilbert Spaces ◽  
Entire Functions ◽  
Reproducing Kernels ◽  
Geometric Properties

scholarly journals Unconditional bases of reproducing kernels in Hilbert spaces of entire functions

2013 ◽  
Vol 5 (3) ◽  
pp. 67-76 ◽  
Author(s):  
Konstantin Petrovich Isaev ◽  
Rinad Salavatovich Yulmukhametov
Keyword(s):  
Hilbert Spaces ◽  
Entire Functions ◽  
Reproducing Kernels ◽  
Unconditional Bases

scholarly journals Some Hilbert spaces of entire functions

1961 ◽  
Vol 67 (1) ◽  
pp. 129-135 ◽  
Author(s):  
Louis de Branges
Keyword(s):  
Hilbert Spaces ◽  
Entire Functions

Composition Operators on Hilbert Spaces of Entire Functions of Several Variables

2017 ◽  
Vol 88 (3) ◽  
pp. 301-330
Author(s):  
Minh Luan Doan ◽  
Le Hai Khoi ◽  
Trieu Le
Keyword(s):  
Hilbert Spaces ◽  
Entire Functions ◽  
Composition Operators ◽  
Several Variables

scholarly journals On the Isomorphism Problem for Multiplier Algebras of Nevanlinna-Pick Spaces

2017 ◽  
Vol 69 (1) ◽  
pp. 54-106 ◽  
Author(s):  
Michael Hartz
Keyword(s):  
Hilbert Spaces ◽  
Special Class ◽  
Reproducing Kernel ◽  
Reproducing Kernels ◽  
Isomorphism Problem ◽  
Reproducing Kernel Hilbert Spaces ◽  
Universal Space ◽  
Kernel Hilbert Spaces ◽  
Arveson Space ◽  
Multiplier Algebras

AbstractWe continue the investigation of the isomorphism problem for multiplier algebras of reproducing kernel Hilbert spaces with the complete Nevanlinna-Pick property. In contrast to previous work in this area, we do not study these spaces by identifying them with the restrictions of a universal space, namely theDrury-Arveson space. Instead, we work directly with theHilbert spaces and their reproducing kernels. In particular, we show that two multiplier algebras of Nevanlinna-Pick spaces on the same set are equal if and only if the Hilbert spaces are equal. Most of the article is devoted to the study of a special class of complete Nevanlinna-Pick spaces on homogeneous varieties. We provide a complete answer to the question of when two multiplier algebras of spaces of this type are algebraically or isometrically isomorphic.This generalizes results of Davidson, Ramsey,Shalit, and the author.

scholarly journals Generalized n-circular projections on JB*-triples and Hilbert C0(Ω)-modules

2017 ◽  
Vol 4 (1) ◽  
pp. 109-120
Author(s):  
Dijana Ilišević ◽  
Chih-Neng Liu ◽  
Ngai-Ching Wong
Keyword(s):  
Banach Space ◽  
Hilbert Spaces ◽  
Orthogonal Projections ◽  
Geometric Properties ◽  
C Algebras ◽  
Structure Theorems ◽  
Special Case

Abstract Being expected as a Banach space substitute of the orthogonal projections on Hilbert spaces, generalized n-circular projections also extend the notion of generalized bicontractive projections on JB*-triples. In this paper, we study some geometric properties of JB*-triples related to them. In particular, we provide some structure theorems of generalized n-circular projections on an often mentioned special case of JB*-triples, i.e., Hilbert C*-modules over abelian C*-algebras C0(Ω).

Sign in / Sign up

Export Citation Format

Share Document