AbstractIf A commutes with the commutator [A, ℬ] then following the Kleinecke-Shirokov theorem [A, ℬ] is quasi-nilpotent. Using the Fuglede theorem we shall show that for normal operators A the stronger conclusion [A, ℬ = O will follow. We shall also derive asymptotic extensions of both the Fuglede theorem and of our new version of the Kleinecke-Shirokov theorem in terms of operator topologies of a rather general type
Abstract. The familiar Fuglede-Putnam’s theorem is as follows: If A ∈ B(H) and B ∈ B(K) are normal o...
In this paper, it is shown that a Putnam-Fuglede type commutativity theorem holds for \(\omega\)-hyp...
A new example of a non-zero quasi-nilpotent operator T with reflexive commutant is presented. The no...
AbstractIf A commutes with the commutator [A, ℬ] then following the Kleinecke-Shirokov theorem [A, ℬ...
summary:We prove that for normal operators $N_1, N_2\in \mathcal {L(H)},$ the generalized commutator...
summary:We prove that for normal operators $N_1, N_2\in \mathcal {L(H)},$ the generalized commutator...
We extend the Fuglede–Putnam theorem modulo the Hilbert– Schmidt class to almost normal m-tuples of ...
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...
It will be shown that an almost quasi-nilpotent operator of a semi-normal class in a Hilbert space i...
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...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
AbstractWe show that a bounded operator A on a Hilbert space belongs to a certain set associated wit...
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...
In this paper, it is shown that a Putnam-Fuglede type commutativity theorem holds for \(\omega\)-hyp...
A new example of a non-zero quasi-nilpotent operator T with reflexive commutant is presented. The no...
AbstractIf A commutes with the commutator [A, ℬ] then following the Kleinecke-Shirokov theorem [A, ℬ...
summary:We prove that for normal operators $N_1, N_2\in \mathcal {L(H)},$ the generalized commutator...
summary:We prove that for normal operators $N_1, N_2\in \mathcal {L(H)},$ the generalized commutator...
We extend the Fuglede–Putnam theorem modulo the Hilbert– Schmidt class to almost normal m-tuples of ...
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...
It will be shown that an almost quasi-nilpotent operator of a semi-normal class in a Hilbert space i...
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...
Abstract. For bounded linear operators T: X 7 → Y and S: Y 7→ Z on Banach spaces the condition kerT ...
AbstractWe show that a bounded operator A on a Hilbert space belongs to a certain set associated wit...
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...
In this paper, it is shown that a Putnam-Fuglede type commutativity theorem holds for \(\omega\)-hyp...
A new example of a non-zero quasi-nilpotent operator T with reflexive commutant is presented. The no...
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