On n-quasi-(m,C)-isometric operators

In this paper, we introduce the class of n-quasi- -isometric operator on a Hilbert space which is a variation of -isometric operators Chō M, Ko E, Lee JE. [On -isometric operators. Complex Anal Oper Theory. 2016;10:1679-1694]. An operator is said to be n-quasi- -isometric if for some positive intege...

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Bibliographic Details
Published in:Linear & multilinear algebra 2020-05, Vol.68 (5), p.1001-1020
Main Authors: Ould Ahmed Mahmoud, Sid Ahmed, Chō, Muneo, Lee, Ji Eun
Format: Article
Language:English
Subjects:
Hilbert space
isometric operator
n-quasi
Operators
Primary 47B20
Secondary 47B99
T. Yamazaki
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Summary:In this paper, we introduce the class of n-quasi- -isometric operator on a Hilbert space which is a variation of -isometric operators Chō M, Ko E, Lee JE. [On -isometric operators. Complex Anal Oper Theory. 2016;10:1679-1694]. An operator is said to be n-quasi- -isometric if for some positive integers n and m. We study this class of such operators and give some of their basic properties.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2018.1524437