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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cerejeiras, Paula | pt_PT |
dc.contributor.author | Colombo, Fabrizio | pt_PT |
dc.contributor.author | Käehler, Uwe | pt_PT |
dc.contributor.author | Sabadini, Irene | pt_PT |
dc.date.accessioned | 2023-02-27T12:07:49Z | - |
dc.date.available | 2023-02-27T12:07:49Z | - |
dc.date.issued | 2023-01-30 | - |
dc.identifier.issn | 0170-4214 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/36418 | - |
dc.description.abstract | 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. | pt_PT |
dc.description.sponsorship | Fundação para a Ciência e a Tecnologia | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Wiley | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04106%2F2020/PT | pt_PT |
dc.rights | restrictedAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Triangular quaternionic operators | pt_PT |
dc.subject | S-spectrum | pt_PT |
dc.subject | S-resolvent operators | pt_PT |
dc.subject | Slice hyperholomorphic functions | pt_PT |
dc.title | Quaternionic triangular linear operators | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 2093 | pt_PT |
degois.publication.issue | 2 | pt_PT |
degois.publication.lastPage | 2116 | pt_PT |
degois.publication.title | Mathematical Methods in the Applied Sciences | pt_PT |
degois.publication.volume | 46 | pt_PT |
dc.relation.publisherversion | https://onlinelibrary.wiley.com/doi/10.1002/mma.8631 | pt_PT |
dc.identifier.doi | 10.1002/mma.8631 | pt_PT |
dc.identifier.essn | 1099-1476 | pt_PT |
Appears in Collections: | CIDMA - Artigos DMat - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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KAEHLER_CEREJEIRAS_TRIANG.pdf | 577.99 kB | Adobe PDF |
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