A Lebesgue-type decomposition for non-positive sesquilinear forms

Rosario Corso

A Lebesgue-type decomposition for non-positive sesquilinear forms

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Abstract

A Lebesgue-type decomposition of a (not 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.

Original language	English
Pages (from-to)	273-288
Number of pages	16
Journal	Annali di Matematica Pura ed Applicata
Volume	198
Publication status	Published - 2019

All Science Journal Classification (ASJC) codes

Applied Mathematics

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title = "A Lebesgue-type decomposition for non-positive sesquilinear forms",

abstract = "A Lebesgue-type decomposition of a (not 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.",

author = "Rosario Corso",

year = "2019",

language = "English",

volume = "198",

pages = "273--288",

journal = "Annali di Matematica Pura ed Applicata",

issn = "0373-3114",

publisher = "Springer Verlag",

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TY - JOUR

T1 - A Lebesgue-type decomposition for non-positive sesquilinear forms

AU - Corso, Rosario

PY - 2019

Y1 - 2019

N2 - A Lebesgue-type decomposition of a (not 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.

AB - A Lebesgue-type decomposition of a (not 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.

UR - http://hdl.handle.net/10447/414748

M3 - Article

VL - 198

SP - 273

EP - 288

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

SN - 0373-3114

ER -

A Lebesgue-type decomposition for non-positive sesquilinear forms

Abstract

All Science Journal Classification (ASJC) codes

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