Abstract. For a bounded linear operator T on a separable complex infinite dimensional Hilbert space H, we say that T is a quasi-class (A, k)In this paper we prove that if T is a quasi-class (A, k) operator and f is an analytic function on an open neighborhood of the spectrum of T , then f (T ) satisfies Weyl's theorem. Also, we consider the tensor product for quasi-class (A, k) operators.
Abstract. An operator T is called, which is a common generalization of p -quasihyponormality and k -quasihyponormality. In this paper we consider the Putnam's inequality, the Berger-Shaw's inequality, the Weyl's theorem and the tensor product for (p, k) -quasihyponormal operators.Mathematics subject classification (2000): 47A80; 47B20.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.