Copyright c © 2014 A. Bachir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. An asymmetric Fuglede-Putnam’s theorem for w−hyponormal operators and (p,k)−quasihyponormal operator is proved. As a consequence of this result, we obtain that the range of the generalized derivation induced by the above classes of operators is orthogonal to its kernel
AbstractLet H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the alg...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are normal is known as the familiar F...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are normal is known as the familiar F...
Abstract. Let (H) denote the algebra of operators on a Hilbert space H into itself. Let d = δ or, wh...
Abstract. Let (H) denote the algebra of operators on a Hilbert space H into itself. Let d = δ or, wh...
Let ℬ(H) denote the algebra of operators on a Hilbert space H into itself. Let d=δ or Δ, where δAB:ℬ...
Abstract. The familiar Fuglede-Putnam Theorem is as follows (see [5], [11] and [12]): If A and B are...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are nor-mal operators is known as the...
We show that if T ∈() is a (p,k)-quasihyponormal operator and S ∗ ∈() is a p-hyponormal operator, an...
Abstract. The familiar Fuglede-Putnam’s theorem is as follows: If A ∈ B(H) and B ∈ B(K) are normal o...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
Abstract. We say operators A,B on Hilbert space satisfy Fuglede-Putnam theorem if AX = XB for some X...
We extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal o...
We extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal o...
Abstract. In this paper, we prove the following assertions: (1) If the pair of operators (A,B∗) sati...
AbstractLet H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the alg...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are normal is known as the familiar F...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are normal is known as the familiar F...
Abstract. Let (H) denote the algebra of operators on a Hilbert space H into itself. Let d = δ or, wh...
Abstract. Let (H) denote the algebra of operators on a Hilbert space H into itself. Let d = δ or, wh...
Let ℬ(H) denote the algebra of operators on a Hilbert space H into itself. Let d=δ or Δ, where δAB:ℬ...
Abstract. The familiar Fuglede-Putnam Theorem is as follows (see [5], [11] and [12]): If A and B are...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are nor-mal operators is known as the...
We show that if T ∈() is a (p,k)-quasihyponormal operator and S ∗ ∈() is a p-hyponormal operator, an...
Abstract. The familiar Fuglede-Putnam’s theorem is as follows: If A ∈ B(H) and B ∈ B(K) are normal o...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
Abstract. We say operators A,B on Hilbert space satisfy Fuglede-Putnam theorem if AX = XB for some X...
We extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal o...
We extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal o...
Abstract. In this paper, we prove the following assertions: (1) If the pair of operators (A,B∗) sati...
AbstractLet H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the alg...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are normal is known as the familiar F...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are normal is known as the familiar F...