Bishop-Phelps-Bollobás当域为L∞时正算子的性质

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2019-07-19 DOI:10.1142/S166436072050023X

M. Acosta, M. Soleimani-Mourchehkhorti

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引用次数: 2

摘要

证明了从[公式:见文]到[公式:见文]的正算子类对于任何正测度[公式:见文]，只要[公式:见文]是具有弱单位的一致单调巴拿赫格，都具有Bishop-Phelps-Bollobás性质。同样的结果也适用于任何一致单调的Banach格对[公式:见文][公式:见文]进一步我们证明了这些结果在[公式:见文]是严格单调的情况下是最优的。

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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Bishop-Phelps-Bollobás property for positive operators when the domain is L∞

We prove that the class of positive operators from [Formula: see text] to [Formula: see text] has the Bishop-Phelps-Bollobás property for any positive measure [Formula: see text], whenever [Formula: see text] is a uniformly monotone Banach lattice with a weak unit. The same result also holds for the pair [Formula: see text] for any uniformly monotone Banach lattice [Formula: see text] Further we show that these results are optimal in case that [Formula: see text] is strictly monotone.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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