Isometries of generalized $log$-spaces
Functional Analysis
2023-08-14 v1
Abstract
In this paper studied isometries of -spaces of integrable functions with logarithm. In particular, using passports of Boolean algebra, a necessary and sufficient condition of isometry -spaces of integrable functions of logarithm with respect to strictly positive -finite measures is proved. In this work,external, internal and generalized algebras are considered separately.
Cite
@article{arxiv.2308.05936,
title = {Isometries of generalized $log$-spaces},
author = {R. Z. Abdullaev and B. A. Madaminov},
journal= {arXiv preprint arXiv:2308.05936},
year = {2023}
}