Lebesgue-type decomposition for sesquilinear forms via differences
- Authors: Corso, Rosario
- Publication year: 2022
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/529067
Abstract
Definitions of regularity and singularity are proposed for sesquilinear forms with respect to a non-negative one and a correspondent Lebesgue-type decomposition is proved. In contrast to other Lebesgue-type decompositions established in the literature for sesquilinear forms with generic sign, the underlying idea in this paper is to write symmetric forms as the difference of non-negative sesquilinear forms.