scholarly journals Fredholm equations on a Hilbert space of analytic functions

1971 ◽  
Vol 162 ◽  
pp. 103-103 ◽  
Author(s):  
Clasine van Winter
Keyword(s):  
Hilbert Space ◽  
Analytic Functions ◽  
Space Of Analytic Functions ◽  
Fredholm Equations

scholarly journals Interpolation by multipliers on certain spaces of analytic functions

2000 ◽  
Vol 23 (8) ◽  
pp. 547-554
Author(s):  
K. Mosaleheh ◽  
K. Seddighi
Keyword(s):  
Hilbert Space ◽  
Analytic Functions ◽  
Linear Functional ◽  
Dirichlet Space ◽  
Planar Domain ◽  
Space Of Analytic Functions ◽  
Spectral Set ◽  
Spaces Of Analytic Functions

Letℋbe a Hilbert space of analytic functions on a planar domainGsuch that, for eachλinG, the linear functionaleλof evaluation atλis bounded onℋ. Furthermore, assume thatzℋ⊂ℋandσ(Mz)=G¯is anM-spectral set forMz, the operator of multiplication byz. This paper is devoted to the study of interpolation by multipliers of the spaceℋand, in particular, the Dirichlet space.

scholarly journals On Some Properties of Cowen-Douglas Class of Operators

2018 ◽  
Vol 2018 ◽  
pp. 1-6 ◽  
Author(s):  
Parastoo Heiatian Naeini ◽  
Bahmann Yousefi
Keyword(s):  
Hilbert Space ◽  
Analytic Function ◽  
Essential Spectrum ◽  
Analytic Functions ◽  
Sufficient Conditions ◽  
Multiplication Operator ◽  
Multiplication Operators ◽  
Space Of Analytic Functions ◽  
Class Operator ◽  
Necessary And Sufficient

We will consider multiplication operators on a Hilbert space of analytic functions on a domainΩ⊂C. For a bounded analytic functionφonΩ, we will give necessary and sufficient conditions under which the complement of the essential spectrum ofMφinφΩbecomes nonempty and this gives conditions for the adjoint of the multiplication operatorMφbelongs to the Cowen-Douglas class of operators. Also, we characterize the structure of the essential spectrum of a multiplication operator and we determine the commutants of certain multiplication operators. Finally, we investigate the reflexivity of a Cowen-Douglas class operator.

scholarly journals A remark on the multipliers on spaces of Weak Products of functions

2016 ◽  
Vol 3 (1) ◽  
Author(s):  
Stefan Richter ◽  
Brett D. Wick
Keyword(s):  
Hilbert Space ◽  
Unit Ball ◽  
Analytic Functions ◽  
Space Of Analytic Functions ◽  
First Order ◽  
Multiplier Algebras

AbstractIf H denotes a Hilbert space of analytic functions on a region Ω ⊆ Cd , then the weak product is defined byWe prove that if H is a first order holomorphic Besov Hilbert space on the unit ball of Cd , then the multiplier algebras of H and of H ⊙ H coincide.

Sign in / Sign up

Export Citation Format

Share Document