Search results for " Lebesgue decomposition"

showing 2 items of 2 documents

A Lebesgue-type decomposition on one side for sesquilinear forms

2021

Sesquilinear forms which are not necessarily positive may have a dierent 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.

Settore MAT/05 - Analisi Matematicasesquilinear forms Lebesgue decomposition regularity singularity complex measures bounded operators
researchProduct

Lebesgue-type decomposition for sesquilinear forms via differences

2022

Definitions of regularity and singularity are proposed for sesquilinear forms with respect to a non-negative one and a correspondent Lebesgue-type decomposition is proved. In contrast to other Lebesgue-type decompositions established in the literature for sesquilinear forms with generic sign, the underlying idea in this paper is to write symmetric forms as the difference of non-negative sesquilinear forms.

sesquilinear forms Lebesgue decomposition regularity singularitySettore MAT/05 - Analisi MatematicaGeneral Mathematics
researchProduct