RT info:eu-repo/semantics/article
T1 Some examples of m-isometries
A1 Bermúdez De León, Teresa De Jesús
A1 Martinón Cejas, Antonio
A1 Zaway, Hajer
K1 m-isometries
AB Weobtaintheadmissiblesetsontheunitcircletobethespectrumofastrict m-isometryonann-finitedimensionalHilbertspace.Thispropertygivesabetterpictureof thecorrectspectrumofanm-isometry.Wedeterminethattheonlym-isometriesonR2are 3-isometriesandisometriesgivingby±I+Q,whereQisanilpotentoperator.Moreover, onrealHilbertspace,weobtainthatm-isometriespreservevolumes.Alsowepresentaway toconstructastrict(m+1)-isometrywithanm-isometrygiven,usingideasofAlemanand Suciu[7,Proposition5.2]oninfinitedimensionalHilbertspace.
YR 2020
FD 2020
LK http://riull.ull.es/xmlui/handle/915/35532
UL http://riull.ull.es/xmlui/handle/915/35532
DS Repositorio institucional de la Universidad de La Laguna
RD 08-ago-2024