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 31-oct-2024