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arXiv · 1803.02772

A Lebesgue-type decomposition for non-positive sesquilinear forms

Rosario Corso
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Abstract

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.

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Rosario Corso. 2018-03-07. A Lebesgue-type decomposition for non-positive sesquilinear forms. https://doi.org/10.1007/s10231-018-0773-5

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