6533b82cfe1ef96bd128ec0b

RESEARCH PRODUCT

A Lebesgue-type decomposition for non-positive sesquilinear forms

Rosario Corso

subject

Complex measurePure mathematicsSesquilinear formType (model theory)Lebesgue integration01 natural sciencesRegularitysymbols.namesakeSettore MAT/05 - Analisi MatematicaLebesgue decomposition0103 physical sciencesDecomposition (computer science)Complex measureFOS: Mathematics0101 mathematicsMathematicsMathematics::Functional AnalysisSingularitySesquilinear formApplied Mathematics010102 general mathematicsAbsolute continuityFunctional Analysis (math.FA)Mathematics - Functional Analysis47A07 15A63 28A12 47A12Product (mathematics)symbols010307 mathematical physicsNumerical range

description

A Lebesgue-type decomposition of a (non necessarily non-negative) sesquilinear form with respect to a non-negative one is studied. This decomposition consists of a sum of three parts: two are dominated by an absolutely continuous form and a singular non-negative one, respectively, and the latter is majorized by the product of an absolutely continuous and a singular non-negative forms. The Lebesgue decomposition of a complex measure is given as application.

yearjournalcountryeditionlanguage
2018-03-07
10.1007/s10231-018-0773-5http://hdl.handle.net/10447/414748