On M − class−c−wA*k(a,b) operators

Abstract

Let L be a bounded linear operator on a complex Hilbert space H. If and then L is called M-class- c –wA*k (a,b) for some positive integers c,k,M and a,b ∈ (0,1]. This study aims to derive the structural relationship of the operators using some of the well-known inequalities. Then the study focuses on M−class−c−wA*k(a,b) operator’s spectral and algebraic properties in L2(λ) space. Furthermore, the Kronecker product results are also explored. Mathematics subject classification (2020): 47A15, 47B20.