RT info:eu-repo/semantics/article
T1 (A,m)-isometries on Hilbert spaces
A1 Bermúdez De León, Teresa De Jesús
A1 Saddi, A.
A1 Zaway, H.
K1 m-isometries
AB 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.
YR 2018
FD 2018
LK http://riull.ull.es/xmlui/handle/915/35535
UL http://riull.ull.es/xmlui/handle/915/35535
LA es
DS Repositorio institucional de la Universidad de La Laguna
RD 12-jul-2024