On [m,C]-isometric operators | Zendy

Muneo Chō | Zendy; Ji Eun Lee | Zendy; Haruna Motoyoshi | Zendy

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On [m,C]-isometric operators

Author(s) -

Muneo Chō,

Ji Eun Lee,

Haruna Motoyoshi

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.

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