A Lebesgue-type decomposition on one side for sesquilinear forms

2019/12/09 by Rosario Corso, Corso, Rosario
Mathematics · #Holomorphic and Operator Theory #Advanced Algebra and Geometry #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.1912.03967

Abstract

Sesquilinear forms which are not necessarily positive may have a different behavior, with respect to a positive form, on each side. For this reason a Lebesgue-type decomposition on one side is provided for generic forms satisfying a boundedness condition.

Related

• A Short-type Decomposition Of Forms
• Representing maps for semibounded forms and their Lebesgue type decompositions
• Some Representation Theorems for Sesquilinear Forms
• On Sesquilinear Forms for Lower Semibounded (Singular) Sturm-Liouville Operators
• Positive Definite Operator Functions and Sesquilinear Forms