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Co-semigroups of m-isometries on Hilbert spaces
| dc.contributor.author | Bermúdez De León, Teresa De Jesús | |
| dc.contributor.author | Bonilla Ramírez, Antonio Lorenzo | |
| dc.contributor.author | Zaway, H. | |
| dc.date.accessioned | 2024-01-22T21:06:57Z | |
| dc.date.available | 2024-01-22T21:06:57Z | |
| dc.date.issued | 2019 | |
| dc.identifier.uri | http://riull.ull.es/xmlui/handle/915/35530 | |
| dc.description.abstract | Let{T(t)}t≥0beaC0-semigrouponaseparableHilbertspaceH.Weshow thatT(t) is anm-isometry for any t if andonly if themapping t∈R+→ T(t)x 2 foreachx∈Hisapolynomialofdegreeatmostm.Thispropertyis usedtostudym-isometricrighttranslationsemigrouponweightedLp-spaces. Wealsoprovidealternativecharacterizationsof theabovepropertybyimposingconditionsonthe infinitesimalgeneratoroperatorandonthecogenerator operatorof{T(t)}t≥0.Moreover,weprovethatanon-unitary2-isometryTon aHilbertspacesatisfyingthekernelcondition, that is, T∗T(KerT∗)⊂KerT∗ , canbeembeddedintoaC0-semigroupifandonlyifdim(KerT∗)=∞. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | |
| 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 | Co-semigroups of m-isometries on Hilbert spaces | |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1016/J.JMAA.2018.11.055 | |
| dc.subject.keyword | m-isometries | en |
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