Decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces

Pub Date : 2024-09-15 DOI:10.1007/s10476-024-00044-7

N. Evseev, A. Menovschikov

引用次数: 0

Abstract

The notion of decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces is introduced. We show that these operators generalize the composition operator in the sense that a binary relation replaces a mapping. The necessary and sufficient conditions for the boundedness of those operators are the main results of the paper.

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作用于巴拿赫空间不同 $$L^p$$ 直接积分之间的可分解算子

我们引入了作用于巴拿赫空间的不同 $L^p$-direct 积分之间的可分解算子的概念。我们证明，这些算子在二元关系取代映射的意义上概括了组成算子。这些算子有界的必要条件和充分条件是本文的主要结果。

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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Decomposable operators acting between distinct \(L^p\)-direct integrals of Banach spaces

Abstract