RT info:eu-repo/semantics/article
T1 Co-semigroups of m-isometries on Hilbert spaces
A1 Bermúdez De León, Teresa De Jesús
A1 Bonilla Ramírez, Antonio Lorenzo
A1 Zaway, H.
K1 m-isometries
AB 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∗)=∞.
YR 2019
FD 2019
LK http://riull.ull.es/xmlui/handle/915/35530
UL http://riull.ull.es/xmlui/handle/915/35530
LA en
DS Repositorio institucional de la Universidad de La Laguna
RD 19-nov-2024