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(A,m)-isometries on Hilbert spaces
| dc.contributor.author | Bermúdez De León, Teresa De Jesús | |
| dc.contributor.author | Saddi, A. | |
| dc.contributor.author | Zaway, H. | |
| dc.date.accessioned | 2024-01-22T21:07:24Z | |
| dc.date.available | 2024-01-22T21:07:24Z | |
| dc.date.issued | 2018 | |
| dc.identifier.uri | http://riull.ull.es/xmlui/handle/915/35535 | |
| dc.description.abstract | AboundedlinearoperatorTonaHilbertspaceHiscalledan(A,m)-isometry, for somepositiveoperatorAonHandintegermif m k=0 (−1)m−k m k T∗kATk=0. We give someproperties of (A,m)-isometries. Inparticular, we focus on spectral properties andthe relationbetween(A,m)-isometriesandm-isometries. Also,weobtainsomedynamic propertiesof (A,m)-isometriesas: anegativeanswerto[22,Question1]withanexampleofan A-isometricwhich isN-supercyclicandsufficient conditions for an(A,m)-isometrytobenot N-supercyclic. Moreover,weprovethat theperturbationof (A,m)-isometrybyabiggerclass thannilpotentoperatorsisnotN-supercyclic. | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | es | |
| dc.relation.ispartofseries | Linear Algebra and its Applications Volume 540, 1 March 2018, Pages 95-111 | |
| dc.rights | Licencia Creative Commons (Reconocimiento-No comercial-Sin obras derivadas 4.0 Internacional) | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es_ES | |
| dc.title | (A,m)-isometries on Hilbert spaces | |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1016/J.LAA.2017.11.005 | |
| dc.subject.keyword | m-isometries | en |
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