On the differentiability of the norm in trace classes
On the dual of L(E, F).
On the duality of local observables
On the eigenvalue spectrum of certain operator ideals
On the equality of injective and projective tensor products
On the geometry of and .
On the geometry of spaces of K-valued operators
On the Metric Geometry of Ideals of Operators on Hubert Space.
On the norm of a projection onto the space of compact operators
Let X and Y be Banach spaces and let 𝓐(X,Y) be a closed subspace of 𝓛(X,Y), the Banach space of bounded linear operators from X to Y, containing the subspace 𝒦(X,Y) of compact operators. We prove that if Y has the metric compact approximation property and a certain geometric property M*(a,B,c), where a,c ≥ 0 and B is a compact set of scalars (Kalton's property (M*) = M*(1, {-1}, 1)), and if 𝓐(X,Y) ≠ 𝒦(X,Y), then there is no projection from 𝓐(X,Y) onto 𝒦(X,Y) with norm less than max|B| + c....
On the position of the space of representable operators in the space of linear operators
We show results about the existence and the nonexistence of a projection from the space of all linear and bounded operators from into onto the subspace of all representable operators.
On the range of a Jordan *-derivation
In this paper, we examine some questions concerned with certain ``skew'' properties of the range of a Jordan *-derivation. In the first part we deal with the question, for example, when the range of a Jordan *-derivation is a complex subspace. The second part of this note treats a problem in relation to the range of a generalized Jordan *-derivation.
On the range of a normal Jordan -derivation
In this note, by means of the spectrum of the generating operator, we characterize the self-adjointness and closedness of the range of a normal and a self-adjoint Jordan *-derivation, respectively.
On the reflexivity and hyperreflexivity of algebras and subspaces
A review of recent reflexivity and hyperreflexivity results is presented. We concentrate particularly on a finite-dimensional situation, Toeplitz operators and partial isometries. Open problems in this area are given.
On the reflexivity of multigenerator algebras [Book]
On the reflexivity of subspaces of Toeplitz operators on the Hardy space on the upper half-plane
The reflexivity and transitivity of subspaces of Toeplitz operators on the Hardy space on the upper half-plane are investigated. The dichotomic behavior (transitive or reflexive) of these subspaces is shown. It refers to the similar dichotomic behavior for subspaces of Toeplitz operators on the Hardy space on the unit disc. The isomorphism between the Hardy spaces on the unit disc and the upper half-plane is used. To keep weak* homeomorphism between spaces on the unit circle and the real line...
On the Relationship Between yp-Radonifying Operators and Other Operator Ideals in Banach Spaces of Stable Type p.
On the Size of Balls Covered by Analytic Transformations.
On the structure of positive maps between matrix algebras
The structure of the set of positive unital maps between M₂(ℂ) and Mₙ(ℂ) (n ≥ 3) is investigated. We proceed with the study of the "quantized" Choi matrix thus extending the methods of our previous paper [MM2]. In particular, we examine the quantized version of Størmer's extremality condition. Maps fulfilling this condition are characterized. To illustrate our approach, a careful analysis of Tang's maps is given.
On the structure of relative identification operators for quantum fields and their connection with the Haag-Ruelle scattering theory
On the structure of self adjoint algebra of finite strict multiplicity.