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

IF 0.6 3区数学 Q3 MATHEMATICS Analysis Mathematica 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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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.

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