Isometries of generalized log-spaces

2023/08/11 by R. Z. Abdullaev, Abdullaev, R. Z., B. A. Madaminov +1
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.2308.05936

openalex publication_date 2023/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

Related

• Isomorphisms and isometries of F-spaces of log-integrable measurable functions
• Isometric F-spaces of log-integrable function
• Isomorphic classification of ∗-algebras of log-integrable functions
• A representation of isometries on function spaces
• Algebras of log-integrable functions and operators