Add to ORKGAbstract. The equation AX = XB implies A∗X = XB ∗ when A and B are normal is known as the familiar Fuglede-Putnam’s theorem. In this paper we will extend Fuglede-Putnam’s theo-rem to a more general classes of operators. We show that if A is log-hyponormal and B ∗ is a class Y operator, then A,B satisfy Fuglede-Putnam’s theorem. Other related results are also given. 1
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are nor-mal operators is known as the...
A closed densely defined operator $ T $ on a Hilbert space $ \mathcal{H} $ is callled $M$-hyponormal...
We extend the Fuglede–Putnam theorem modulo the Hilbert– Schmidt class to almost normal m-tuples of ...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are normal is known as the familiar F...
Abstract. We say operators A,B on Hilbert space satisfy Fuglede-Putnam theorem if AX = XB for some X...
Abstract. The familiar Fuglede-Putnam’s theorem is as follows: If A ∈ B(H) and B ∈ B(K) are normal o...
Abstract. In [22] the author proved that, for a M-hyponormal operator A ∗ and for a dominant operato...
Abstract. The familiar Fuglede-Putnam Theorem is as follows (see [5], [11] and [12]): If A and B are...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
We show that if T ∈() is a (p,k)-quasihyponormal operator and S ∗ ∈() is a p-hyponormal operator, an...
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...
For a bounded linear operator $T$ acting on acomplex infinite dimensional Hilbert space $\h,$ we say...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are nor-mal operators is known as the...
A closed densely defined operator $ T $ on a Hilbert space $ \mathcal{H} $ is callled $M$-hyponormal...
We extend the Fuglede–Putnam theorem modulo the Hilbert– Schmidt class to almost normal m-tuples of ...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are normal is known as the familiar F...
Abstract. We say operators A,B on Hilbert space satisfy Fuglede-Putnam theorem if AX = XB for some X...
Abstract. The familiar Fuglede-Putnam’s theorem is as follows: If A ∈ B(H) and B ∈ B(K) are normal o...
Abstract. In [22] the author proved that, for a M-hyponormal operator A ∗ and for a dominant operato...
Abstract. The familiar Fuglede-Putnam Theorem is as follows (see [5], [11] and [12]): If A and B are...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
Abstract. Let H be a separable infinite dimensional complex Hilbert space, and let B(H) denote the a...
We show that if T ∈() is a (p,k)-quasihyponormal operator and S ∗ ∈() is a p-hyponormal operator, an...
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...
For a bounded linear operator $T$ acting on acomplex infinite dimensional Hilbert space $\h,$ we say...
Abstract. The equation AX = XB implies A∗X = XB ∗ when A and B are nor-mal operators is known as the...
A closed densely defined operator $ T $ on a Hilbert space $ \mathcal{H} $ is callled $M$-hyponormal...
We extend the Fuglede–Putnam theorem modulo the Hilbert– Schmidt class to almost normal m-tuples of ...