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arXiv · 2308.05936

Isometries of generalized $log$-spaces

R. Z. Abdullaev·B. A. Madaminov
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Abstract

In this paper studied isometries of $F$-spaces of integrable functions with logarithm. In particular, using passports of Boolean algebra, a necessary and sufficient condition of isometry $F$-spaces of integrable functions of logarithm with respect to strictly positive $\sigma$-finite measures is proved. In this work,external, internal and generalized $log$ algebras are considered separately.

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R. Z. Abdullaev, B. A. Madaminov. 2023-08-11. Isometries of generalized $log$-spaces. https://arxiv.org/abs/2308.05936

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