Abstract

ABSTRACT 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.

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