Projective and injective tensor products of Banach $L^0$-modules

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-01-08 DOI:10.1007/s43034-023-00312-x

Enrico Pasqualetto

引用次数: 0

Abstract

We study projective and injective tensor products of Banach $L^0$-modules over a $\sigma $-finite measure space. En route, we extend to Banach $L^0$-modules several technical tools of independent interest, such as quotient operators, summable families, and Schauder bases.

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巴拿赫 $L^0$$ 模块的投影和注入张量积

我们研究巴拿赫（L^0\）-模块在无限度量空间上的投影和注入张量积。在研究过程中，我们将一些独立的技术工具扩展到了《巴拿赫（L^0）-模块》，比如商算子、可求和族和肖德基。

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

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.

Projective and injective tensor products of Banach \(L^0\)-modules

Abstract