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http://hdl.handle.net/10773/36418
Título: | Quaternionic triangular linear operators |
Autor: | Cerejeiras, Paula Colombo, Fabrizio Käehler, Uwe Sabadini, Irene |
Palavras-chave: | Triangular quaternionic operators S-spectrum S-resolvent operators Slice hyperholomorphic functions |
Data: | 30-Jan-2023 |
Editora: | Wiley |
Resumo: | Triangular operators are an essential tool in the study of non-selfadjoint operators that appear in different fields with a wide range of applications. Although the development of a quaternionic counterpart for this theory started at the beginning of this century, the lack of a proper spectral theory combined with problems caused by the underlying noncommutative structure prevented its real development for a long time. In this paper, we give criteria for a quaternionic linear operator to have a triangular representation, namely, under which conditions such operators can be represented as a sum of a diagonal operator with a Volterra operator. To this effect, we investigate quaternionic Volterra operators based on the quaternionic spectral theory arising from the S-spectrum.This allow us to obtain conditions when a non-selfadjoint operator admits a triangular representation. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/36418 |
DOI: | 10.1002/mma.8631 |
ISSN: | 0170-4214 |
Versão do Editor: | https://onlinelibrary.wiley.com/doi/10.1002/mma.8631 |
Aparece nas coleções: | CIDMA - Artigos DMat - Artigos CHAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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KAEHLER_CEREJEIRAS_TRIANG.pdf | 577.99 kB | Adobe PDF |
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