Weber’s theorem says that if A: H 0 H is bounded and linear on a separable Hilbert space, then any operator that is compact, commutes with A and lies in the weak closure of the range of the inner derivation induced by A must also be quasinilpotent. In this note we consider related problems for generalised inner derivations associated with operators A and B on H
Abstract Let be a bounded linear operator on a complex Hilbert space . In this paper we introduce a ...
AbstractWe construct a power bounded operator on a Hilbert space which is not quasisimilar to a cont...
Abstract. Let T be a bounded linear operator on a complex Hilbert space H. T is called (p, k)-quasih...
summary:In this paper we obtain some results concerning the set ${\mathcal M} = \cup \bigl \lbrace \...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are nor-mal operators is known as the...
Let H andK be Hilbert spaces. We denote the set of all bounded linear operators fromH intoK by ( ,)B...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
AbstractLet QA denote the class of bounded linear Hilbert space operators T which satisfy the operat...
(Communicated by Javad Mashreghi) Abstract. For a bounded linear operator on Hilbert space we dene a...
Let L(H) denote the algebra of bounded linear operators on a complex separable and infinite dimensio...
The primarily objective of the book is to serve as a primer on the theory of bounded linear operator...
For Hilbert space operators A and B, let δAB denote the generalised derivation δAB(X) = AX − XB and...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
Abstract Let be a bounded linear operator on a complex Hilbert space . In this paper we introduce a ...
AbstractWe construct a power bounded operator on a Hilbert space which is not quasisimilar to a cont...
Abstract. Let T be a bounded linear operator on a complex Hilbert space H. T is called (p, k)-quasih...
summary:In this paper we obtain some results concerning the set ${\mathcal M} = \cup \bigl \lbrace \...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are nor-mal operators is known as the...
Let H andK be Hilbert spaces. We denote the set of all bounded linear operators fromH intoK by ( ,)B...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
AbstractLet QA denote the class of bounded linear Hilbert space operators T which satisfy the operat...
(Communicated by Javad Mashreghi) Abstract. For a bounded linear operator on Hilbert space we dene a...
Let L(H) denote the algebra of bounded linear operators on a complex separable and infinite dimensio...
The primarily objective of the book is to serve as a primer on the theory of bounded linear operator...
For Hilbert space operators A and B, let δAB denote the generalised derivation δAB(X) = AX − XB and...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
Abstract Let be a bounded linear operator on a complex Hilbert space . In this paper we introduce a ...
AbstractWe construct a power bounded operator on a Hilbert space which is not quasisimilar to a cont...
Abstract. Let T be a bounded linear operator on a complex Hilbert space H. T is called (p, k)-quasih...