On characterization of integrable sesquilinear forms

2011/01/03 by Anatolij N. Sherstnev, Sherstnev, Anatolij N., O. E. Tikhonov +2
Mathematics · #46L51 #46L52 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L51 #msc:46L52

paper · pdf · doi:10.48550/arxiv.1101.0558

5 pages. Submitted to Mathematica Slovaca

arxiv created 2011/01/03 · openalex publication_date 2011/01/03 · arxiv updated 2011/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give necessary and sufficient condition for a sesquilinear form to be integrable with respect to a faithful normal state on a von Neumann algebra.

Related

• Some Representation Theorems for Sesquilinear Forms
• Classically normal pure states
• A Lebesgue-type decomposition on one side for sesquilinear forms
• Basic representation theorems of forms
• Admissible vectors and Radon-Nikodym theorems