Weak integrability of operator valued functions with values in ideals of compact operators on Hilbert space

IF 0.8 3区数学 Q2 MATHEMATICS

Positivity Pub Date : 2024-04-13 DOI:10.1007/s11117-024-01047-2

Matija Milović

引用次数: 0

Abstract

In this paper, we provide some sufficient conditions for Pettis integrability of operator valued functions that take values in ideals of compact operators on the separable Hilbert space. Additionally, we show that, in general, these conditions do not imply Bochner integrability.

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在希尔伯特空间上紧凑算子的理想中取值的算子值函数的弱可积分性

在本文中，我们为在可分离的希尔伯特空间上的紧凑算子的理想中取值的算子值函数的佩蒂斯可积分性提供了一些充分条件。此外，我们还证明，在一般情况下，这些条件并不意味着 Bochner 可积分性。

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

Positivity 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome. The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.