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A Lebesgue-type decomposition for non-positive sesquilinear forms
Corso, R. ✉
English Scientific Article (Journal Article)
ANNALI DI MATEMATICA PURA ED APPLICATA 0373-3114 1618-1891
SJR Scopus - Applied Mathematics: Q1
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. © 2018, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature.
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