arXiv subjects

B. A. Madaminov

Publications and source records attributed to B. A. Madaminov.

2 recordsLinked to original sources

arXiv2023

Isometries of generalized $log$-spaces

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 $σ$-finite measures is proved. In this work,external, internal and generalized $log$ algebras are considered separately.

math.FA↗

arXiv2020

Isomorphisms and isometries of $F$-spaces of $log$-integrable measurable functions

In the paper, it is given isomorphic classification of $F$-spaces of $log$-integrable measurable functions constructed using different measure spaces. At the same time, it is proved that such spaces are non-isometric.

math.FA↗