Open AccessOn [m,C]-isometric operators
Author(s) -
Muneo Chō,
Eungil Ko,
Eun Ji Lee
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1707073c
Subject(s) - mathematics , isometric exercise , operator (biology) , tensor product , hilbert space , nilpotent , quasinormal operator , operator space , pure mathematics , product (mathematics) , multiplication operator , finite rank operator , banach space , geometry , chemistry , medicine , biochemistry , repressor , transcription factor , gene , physical therapy
In this paper we introduce an [m;C]-isometric operator T on a complex Hilbert space H and study its spectral properties. We show that if T is an [m,C]-isometric operator and N is an n-nilpotent operator, respectively, then T + N is an [m + 2n ? 2,C]-isometric operator. Finally we give a short proof of Duggal?s result for tensor product of m-isometries and give a similar result for [m,C]-isometric operators.