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EVALUATION FUNCTIONS AND REFLEXIVITY OF BANACH SPACES OF HOLOMORPHIC FUNCTIONS
Published online by Cambridge University Press: 31 May 2024
Abstract
Let $B(\Omega )$ be a Banach space of holomorphic functions on a bounded connected domain
$\Omega $ in
${{\mathbb C}^n}$. In this paper, we establish a criterion for
$B(\Omega )$ to be reflexive via evaluation functions on
$B(\Omega )$, that is,
$B(\Omega )$ is reflexive if and only if the evaluation functions span the dual space
$(B(\Omega ))^{*} $.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
The first author was supported by NNSF of China (Grant Number 12071155). The second author was supported by NNSF of China (Grant Number 12371127). The third author is supported by the Australian Research Council (ARC) through the research grant DP220100285.
Communicated by Lisa Orloff Clark
References
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