RT info:eu-repo/semantics/article
T1 On (m,infinity)-isometries: examples
A1 Bermúdez De León, Teresa De Jesús
A1 Zaway, Hajer
K1 m-isometries
AB AnoperatorTonaBanachspaceXissaidtobean(m,∞)-isometry, if max 0≤k≤m k even ∥Tkx∥=max 0≤k≤m k odd ∥Tkx∥, forallx∈X. Inthispaper,westudyunilateralweightedshiftoperatorswhichare(m,∞)isometriesforsomeintegersm. Inparticular,weshowthatanypowerofan(m,∞)-isometry isnotnecessarilyan(m,∞)-isometry.Wealsostudystrict(3,∞)-isometriesonR2andgive anexampleofastrict(2n−1,∞)-isometryonC2, foranyoddintegern.
YR 2019
FD 2019
LK http://riull.ull.es/xmlui/handle/915/35534
UL http://riull.ull.es/xmlui/handle/915/35534
LA en
DS Repositorio institucional de la Universidad de La Laguna
RD 19-nov-2024