Add to ORKGWe extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal operators and to an elementary operator under perturbation by quasinilpo-tents. Some asymptotic results are also given. 2000 Mathematics Subject Classification: 47B47, 47A05. 1. Introduction. LetH be a complex Hilbert space and let B(H) be the Banach algebra consisting of all the bounded linear operators on H. For the normal operators, we have the following well-known Putnam-Fuglede (PF) theorem [7]. Theorem 1.1. If N, M are normal operators in B(H), and if X ∈ B(H) such that NX =XM, then N∗X =XM∗
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are normal is known as the familiar F...
We extend the Fuglede–Putnam theorem modulo the Hilbert– Schmidt class to almost normal m-tuples of ...
For a bounded linear operator $T$ acting on acomplex infinite dimensional Hilbert space $\h,$ we say...
We extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal o...
We show that if T ∈() is a (p,k)-quasihyponormal operator and S ∗ ∈() is a p-hyponormal operator, an...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are nor-mal operators is known as the...
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...
Let N,M be unbounded normal operators in a Hilbert space and let T be a closed operator whose domain...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
In this note, we prove and disprove several generalizations of unbounded versions of the Fuglede-Put...
In this note, we prove and disprove several generalizations of unbounded versions of the Fuglede-Put...
Abstract. In [22] the author proved that, for a M-hyponormal operator A ∗ and for a dominant operato...
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...
We extend the Fuglede–Putnam theorem modulo the Hilbert– Schmidt class to almost normal m-tuples of ...
For a bounded linear operator $T$ acting on acomplex infinite dimensional Hilbert space $\h,$ we say...
We extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal o...
We show that if T ∈() is a (p,k)-quasihyponormal operator and S ∗ ∈() is a p-hyponormal operator, an...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are nor-mal operators is known as the...
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...
Let N,M be unbounded normal operators in a Hilbert space and let T be a closed operator whose domain...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
In this note, we prove and disprove several generalizations of unbounded versions of the Fuglede-Put...
In this note, we prove and disprove several generalizations of unbounded versions of the Fuglede-Put...
Abstract. In [22] the author proved that, for a M-hyponormal operator A ∗ and for a dominant operato...
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...
We extend the Fuglede–Putnam theorem modulo the Hilbert– Schmidt class to almost normal m-tuples of ...
For a bounded linear operator $T$ acting on acomplex infinite dimensional Hilbert space $\h,$ we say...