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.