Isomorphic classification of ∗-algebras of log-integrable functions

2017/07/26 by Rustam Abdullayev, Abdullayev, Rustam, Vladimir Chilin +1
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1707.08269

openalex publication_date 2017/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the notion of passport of a normed Boolean algebra, necessary and sufficient conditions for a ∗-isomorphism of ∗-algebras of log-integrable measurable functions are found.

Citations

• Algebras of log-integrable functions and operators

Related

• Isometries of generalized log-spaces
• Isomorphisms and isometries of F-spaces of log-integrable measurable functions
• The inter-relationship between isomorphisms of commutative and isomorphisms of non-commutative log-algebras
• Logmodularity and isometries of operator algebras
• Algebras of log-integrable functions and operators