EVALUATION FUNCTIONS AND REFLEXIVITY OF BANACH SPACES OF HOLOMORPHIC FUNCTIONS

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of the Australian Mathematical Society Pub Date : 2024-05-31 DOI:10.1017/s1446788724000077

GUANGFU CAO, LI HE, JI LI, SHUQING ZHANG

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引用次数: 0

Abstract

Let

$B(\Omega )$

be a Banach space of holomorphic functions on a bounded connected domain

$\Omega $

${{\mathbb C}^n}$

. 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 ))^{*} $

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整体函数的巴拿赫空间的评价函数和反身性

让 $B(\Omega )$ 是在 ${{mathbb C}^n}$ 中有界连通域 $\Omega $ 上的全形函数的巴拿赫空间。在本文中，我们通过$B(\Omega )$ 上的求值函数建立了一个$B(\Omega )$ 是反向的标准，也就是说，当且仅当求值函数跨越对偶空间$(B(\Omega ))^{*} 时，$B(\Omega )$ 才是反向的。$ .

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Australian Mathematical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of the Australian Mathematical Society is the oldest journal of the Society, and is well established in its coverage of all areas of pure mathematics and mathematical statistics. It seeks to publish original high-quality articles of moderate length that will attract wide interest. Papers are carefully reviewed, and those with good introductions explaining the meaning and value of the results are preferred. Published Bi-monthly Published for the Australian Mathematical Society