AbstractA criterion for a certain class of integral operators to belong to Schatten-von Neumann symmetric normed ideals is given. In particular, when 2 ≤ p < ∞, it is shown that the Schatten p-norm of such an operator can be estimated by constant multiples of an integral expression which is a natural extension of the well-known formula for the Hilbert-Schmidt norm
We address the question of describing the membership to Schatten-Von Neumann ideals $S_p$ of integra...
AbstractA norm ideal C is said to satisfy condition (QK) if there exist constants 0<t<1 and 0<B<∞, s...
First published in Proceedings of the American Mathematical Society in 2004, published by the Americ...
AbstractA criterion for a certain class of integral operators to belong to Schatten-von Neumann symm...
Two-sided estimates of Schatten-von Neumann norms for weighted Volterra integral operators are estab...
Let B be a von Neumann algebra and Pa selfdjoint projection. For A and B in B, set S A,B = AP + BQ w...
We construct ideals in an arbitrary C*-algebra (which correspond to those of the Schatten p-ideals ...
Abstract. It has recently been established that if V is the classical Volterra (indefinite integrati...
AbstractWe obtain a number of explicit estimates for quasi-norms of pseudo-differential operators in...
AbstractThe Sp-norm of a Hankel operator equals a constant times a certain Lp-norm of the first diff...
Let a and {3 be bounded measurable functions on the unit circle T. Then the singular integral operat...
AbstractSharp upper estimates for the norm of the weighted elementary operator of the form ∑n=1∞CnZn...
In this work we establish sharp kernel conditions ensuring that the corresponding integral operators...
AbstractThis is a continuation of our paper [2]. We prove that for functions f in the Hölder class Λ...
If X is the set of compact or p-Schatten operators over a complex Hilbert separable space H, we stud...
We address the question of describing the membership to Schatten-Von Neumann ideals $S_p$ of integra...
AbstractA norm ideal C is said to satisfy condition (QK) if there exist constants 0<t<1 and 0<B<∞, s...
First published in Proceedings of the American Mathematical Society in 2004, published by the Americ...
AbstractA criterion for a certain class of integral operators to belong to Schatten-von Neumann symm...
Two-sided estimates of Schatten-von Neumann norms for weighted Volterra integral operators are estab...
Let B be a von Neumann algebra and Pa selfdjoint projection. For A and B in B, set S A,B = AP + BQ w...
We construct ideals in an arbitrary C*-algebra (which correspond to those of the Schatten p-ideals ...
Abstract. It has recently been established that if V is the classical Volterra (indefinite integrati...
AbstractWe obtain a number of explicit estimates for quasi-norms of pseudo-differential operators in...
AbstractThe Sp-norm of a Hankel operator equals a constant times a certain Lp-norm of the first diff...
Let a and {3 be bounded measurable functions on the unit circle T. Then the singular integral operat...
AbstractSharp upper estimates for the norm of the weighted elementary operator of the form ∑n=1∞CnZn...
In this work we establish sharp kernel conditions ensuring that the corresponding integral operators...
AbstractThis is a continuation of our paper [2]. We prove that for functions f in the Hölder class Λ...
If X is the set of compact or p-Schatten operators over a complex Hilbert separable space H, we stud...
We address the question of describing the membership to Schatten-Von Neumann ideals $S_p$ of integra...
AbstractA norm ideal C is said to satisfy condition (QK) if there exist constants 0<t<1 and 0<B<∞, s...
First published in Proceedings of the American Mathematical Society in 2004, published by the Americ...