On n-quasi-(m, C)-isometric operators. Issue 5 (3rd May 2020)

• Record Type: Journal Article
• Authors: Ould Ahmed Mahmoud, Sid Ahmed; Chō, Muneo; Lee, Ji Eun
• Is Part Of: Linear & multilinear algebra. Volume 68:Issue 5(2020)
• Page Start: 1001
• Page End: 1020
• Publication Date: 2020-05-03
• Subjects: T. Yamazaki; (m, C)-isometric operator -- n-quasi-(m, C)-isometric operator -- Hilbert space; Primary 47B20 -- Secondary 47B99; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2018.1524437
• Languages: English
• ISSNs: 0308-1087

Abstract

ABSTRACT: In this paper, we introduce the class of n -quasi- ( m, C ) -isometric operator on a Hilbert space which is a variation of ( m, C ) -isometric operators Chō M, Ko E, Lee JE. [On ( m, C ) -isometric operators. Complex Anal Oper Theory. 2016;10:1679–1694]. An operator T ∈ B ( H ) is said to be n -quasi- ( m, C ) -isometric if T ∗ n ∑ 0 ≤ k ≤ m ( − 1 ) k m k T ∗ m − k C T m − k C T n = 0 for some positive integers n and m . We study this class of such operators and give some of their basic properties.