Decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces
Functional Analysis
2024-11-26 v3
Abstract
The notion of decomposable operators acting between distinct -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.
Keywords
Cite
@article{arxiv.1902.02983,
title = {Decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces},
author = {Nikita Evseev and Alexander Menovschikov},
journal= {arXiv preprint arXiv:1902.02983},
year = {2024}
}
Comments
26 pages, 7 figures