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RESEARCH PRODUCT

Lebesgue-type decomposition for sesquilinear forms via differences

Rosario Corso

subject

sesquilinear forms Lebesgue decomposition regularity singularitySettore MAT/05 - Analisi MatematicaGeneral Mathematics

description

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.

10.1007/s00013-021-01690-1http://hdl.handle.net/10447/529067