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EnglishA 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.
Corso R. (2019). A Lebesgue-type decomposition for non-positive sesquilinear forms. ANNALI DI MATEMATICA PURA ED APPLICATA, 198(1), 273-288 [10.1007/s10231-018-0773-5].
| Data di pubblicazione: | 2019 | |
| Titolo: | A Lebesgue-type decomposition for non-positive sesquilinear forms | |
| Autori: | CORSO, Rosario (Corresponding) | |
| Citazione: | Corso R. (2019). A Lebesgue-type decomposition for non-positive sesquilinear forms. ANNALI DI MATEMATICA PURA ED APPLICATA, 198(1), 273-288 [10.1007/s10231-018-0773-5]. | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10231-018-0773-5 | |
| 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. | |
| Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/414748
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