On some Banach ideals of operators
On some matrix Inequalities in Banach Spaces
On strongly -summing m-linear operators
We introduce and study a new concept of strongly -summing m-linear operators in the category of operator spaces. We give some characterizations of this notion such as the Pietsch domination theorem and we show that an m-linear operator is strongly -summing if and only if its adjoint is -summing.
On Tensor Product Characterization of Nuclear Spaces.
On the Clarkson-McCarthy Inequalities.
On the Cohen -nuclear sublinear operators.
On the compact non-nuclear operator problem.
On the differentiability of the norm in trace classes
On the dual of L(E, F).
On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance
On the extension of holomorphic functions on a locally convex space
On the Hardy-type integral operators in Banach function spaces.
Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are given.
On the Metric Geometry of Ideals of Operators on Hubert Space.
On the positive absolutely summing operators on the space Lp(μ,X).
On the Range and the Kernel of Derivations
2000 Mathematics Subject Classification: Primary 47B47, 47B10; Secondary 47A30.Let H be a separable infinite dimensional complex Hilbert space and let L(H) denote the algebra of all bounded linear operators on H into itself. Given A ∈ L(H), the derivation δA : L(H)→ L(H) is defined by δA(X) = AX-XA. In this paper we prove that if A is an n-multicyclic hyponormal operator and T is hyponormal such that AT = TA, then || δA(X)+T|| ≥ ||T|| for all X ∈ L(H). We establish the same inequality if A is...
On the range and the kernel of the elementary operators .
On the range-kernel orthogonality of elementary operators
Let denote the algebra of operators on a complex infinite dimensional Hilbert space . For , the generalized derivation and the elementary operator are defined by and for all . In this paper, we exhibit pairs of operators such that the range-kernel orthogonality of holds for the usual operator norm. We generalize some recent results. We also establish some theorems on the orthogonality of the range and the kernel of with respect to the wider class of unitarily invariant norms on...
On the Relationship Between yp-Radonifying Operators and Other Operator Ideals in Banach Spaces of Stable Type p.
On the Relative Completeness of the Generalized Eigenvectors of Elliptic Eigenvalue Problems with Indefinite Weight Functions.
On the r-Nuclearity of Gaussian Covariances and the Composition of Nuclear Operators.