English Scientific Article (Journal Article)

- SJR Scopus - Applied Mathematics: Q1

Identifiers

- MTMT: 30789532
- DOI: 10.1007/s10231-018-0773-5
- ISSN: 0373-3114
- WoS: 000460359300016
- Scopus: 85049952294

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.

2020-09-28 20:51