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arXiv · 1902.02983

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

Nikita Evseev·Alexander Menovschikov
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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 sense that a mapping is replaced by a binary relation. The necessary and sufficient conditions for the boundedness of those operators are the main results of the paper.

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Nikita Evseev, Alexander Menovschikov. 2019-02-08. Decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces. https://doi.org/10.1007/s10476-024-00044-7

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