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

被引：1

作者：

Milovic, Matija ^{[1
]}

机构：

[1] Univ Belgrade, Dept Math, Studentski Trg 16,POB 550, Belgrade 11000, Serbia

来源：

POSITIVITY | 2024年 / 28卷 / 02期

关键词：

Integration in Banach spaces; Operator valued function; Symmetrically norming function; Ideals of compact operators;

D O I：

10.1007/s11117-024-01047-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：16

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