A Lebesgue-type decomposition for non-positive sesquilinear forms
- Authors: Corso R.
- Publication year: 2019
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/414748
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.