Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/113967
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Abdelwahab, Hani | - |
dc.contributor.author | Barreiro, Elisabete | - |
dc.contributor.author | Calderón, Antonio J. | - |
dc.contributor.author | Sánchez, José M. | - |
dc.date.accessioned | 2024-03-13T10:11:12Z | - |
dc.date.available | 2024-03-13T10:11:12Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 2227-7390 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/113967 | - |
dc.description.abstract | In this work, we study a linear operator f on a pre-Euclidean space V by using properties of a corresponding graph. Given a basis B of V, we present a decomposition of V as an orthogonal direct sum of certain linear subspaces fUigi2I , each one admitting a basis inherited from B, in such way that f = åi2I fi. Each fi is a linear operator satisfying certain conditions with respect to Ui. Considering this new hypothesis, we assure the existence of an isomorphism between the graphs of f relative to two different bases. We also study the minimality of V by using the graph of f relative to B. | pt |
dc.language.iso | eng | pt |
dc.publisher | MDPI | pt |
dc.relation | UIDB/00324/2020 | pt |
dc.relation | PCI of the UCA ‘Teoría de Lie y Teoría de Espacios de Banach’ and by the PAI, with project number FQM298 | pt |
dc.relation | project FEDER-UCA18-107643, and by the Spanish project ‘Algebras no conmutativas y de caminos de Leavitt. Algebras de evolución. Estructuras de Lie y variedades de Einstein’. | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | linear operators | pt |
dc.subject | pre-Euclidean spaces | pt |
dc.subject | graph theory | pt |
dc.title | Decomposition of Linear Operators on Pre-Euclidean Spaces by Means of Graphs | pt |
dc.type | article | - |
degois.publication.firstPage | 725 | pt |
degois.publication.issue | 3 | pt |
degois.publication.title | Mathematics | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.3390/math11030725 | pt |
degois.publication.volume | 11 | pt |
dc.date.embargo | 2023-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | Com Texto completo | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-1369-3737 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Decomposition-of-Linear-Operators-on-PreEuclidean-Spaces-by-Means-of-GraphsMathematics.pdf | 285.54 kB | Adobe PDF | View/Open |
Page view(s)
16
checked on May 15, 2024
Download(s)
2
checked on May 15, 2024
Google ScholarTM
Check
Altmetric
Altmetric
This item is licensed under a Creative Commons License