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

2020/09/24 by R. Z. Abdullaev, Abdullaev, R. Z., B. A. Madaminov +1
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2009.11486

Abstract

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.

Related

• Isometric F-spaces of log-integrable function
• Isometries of generalized log-spaces
• Isomorphic classification of ∗-algebras of log-integrable functions
• A representation of isometries on function spaces
• Mutually non isomorphic mixed-norm Lebesgue spaces