summary:We prove that for normal operators $N_1, N_2\in \mathcal {L(H)},$ the generalized commutator $[N_1, N_2; X]$ approaches zero when $[N_1,N_2; [N_1, N_2; X]]$ tends to zero in the norm of the Schatten-von Neumann class $\mathcal {C}_p$ with $p>1$ and $X$ varies in a bounded set of such a class
AbstractLet Ai,Bi, and Xi, i=1,…,n, be bounded linear operators on a separable Hilbert space such th...
AbstractLet H be a separable infinite-dimensional complex Hilbert space and let B(H) denote the alge...
AbstractIt is shown that if A, B, X are Hilbert space operators such that X⩾γI, for the positive rea...
summary:We prove that for normal operators $N_1, N_2\in \mathcal {L(H)},$ the generalized commutator...
AbstractIf A commutes with the commutator [A, ℬ] then following the Kleinecke-Shirokov theorem [A, ℬ...
AbstractIt is shown that if A,B, and X are operators on a complex separable Hilbert space such that ...
This article studies sharp norm estimates for the commutator of pseudo-differential operators with m...
AbstractIf A commutes with the commutator [A, ℬ] then following the Kleinecke-Shirokov theorem [A, ℬ...
AbstractIt is shown that the infimum over all choices of the operator X of the norm of the operator ...
We find estimates on the norm of a commutator of the form [f(x),y] in terms of the norm of [x,y], as...
AbstractWe consider commutators of the form Rƒ, g = i[ƒ(P), g(Q)], where P, Q are an irreducible can...
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 ...
\begin{abstract} We find estimates on the norm of a commutator of the form $[f(x),y]$ in terms of ...
AbstractWe show that a bounded operator A on a Hilbert space belongs to a certain set associated wit...
AbstractLet Ai,Bi, and Xi, i=1,…,n, be bounded linear operators on a separable Hilbert space such th...
AbstractLet H be a separable infinite-dimensional complex Hilbert space and let B(H) denote the alge...
AbstractIt is shown that if A, B, X are Hilbert space operators such that X⩾γI, for the positive rea...
summary:We prove that for normal operators $N_1, N_2\in \mathcal {L(H)},$ the generalized commutator...
AbstractIf A commutes with the commutator [A, ℬ] then following the Kleinecke-Shirokov theorem [A, ℬ...
AbstractIt is shown that if A,B, and X are operators on a complex separable Hilbert space such that ...
This article studies sharp norm estimates for the commutator of pseudo-differential operators with m...
AbstractIf A commutes with the commutator [A, ℬ] then following the Kleinecke-Shirokov theorem [A, ℬ...
AbstractIt is shown that the infimum over all choices of the operator X of the norm of the operator ...
We find estimates on the norm of a commutator of the form [f(x),y] in terms of the norm of [x,y], as...
AbstractWe consider commutators of the form Rƒ, g = i[ƒ(P), g(Q)], where P, Q are an irreducible can...
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 ...
\begin{abstract} We find estimates on the norm of a commutator of the form $[f(x),y]$ in terms of ...
AbstractWe show that a bounded operator A on a Hilbert space belongs to a certain set associated wit...
AbstractLet Ai,Bi, and Xi, i=1,…,n, be bounded linear operators on a separable Hilbert space such th...
AbstractLet H be a separable infinite-dimensional complex Hilbert space and let B(H) denote the alge...
AbstractIt is shown that if A, B, X are Hilbert space operators such that X⩾γI, for the positive rea...
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