On Characterizations of Nuclear Spaces and Quasi-Integral Operators.
On differences of heat semigroups
On Generalised Putnam-Fuglede Theorems.
On Hardy's inequality and eigenvalue distributions
On Hilbert-Schmidt spaces
On Ideals and Lie Ideals of Compact Operators.
On interpolation of tensor products of Banach spaces.
For the complex interpolation method, Kouba proved an important interpolation formula for tensor products of Banach spaces. We give a partial extension of this formula in the injective case for the Gustavsson?Peetre method of interpolation within the setting of Banach function spaces.
On large subspaces of the Schatten -classes
On linear properties of separable conjugate spaces of C*-algebras
On Minimizing ||S−(AX−XB)||Pp
In this paper, we minimize the map Fp (X)= ||S−(AX−XB)||Pp , where the pair (A, B) has the property (F P )Cp , S ∈ Cp , X varies such that AX − XB ∈ Cp and Cp denotes the von Neumann-Schatten class.
On minimizing the norm of linear maps in -classes.
On multilinear mappings of nuclear type.
The space of multilinear mappings of nuclear type (s;r1,...,rn) between Banach spaces is considered, some of its properties are described (including the relationship with tensor products) and its topological dual is characterized as a Banach space of absolutely summing mappings.
On norm closed ideals in
It is well known that the only proper non-trivial norm closed ideal in the algebra L(X) for (1 ≤ p < ∞) or X = c₀ is the ideal of compact operators. The next natural question is to describe all closed ideals of for 1 ≤ p,q < ∞, p ≠ q, or equivalently, the closed ideals in for p < q. This paper shows that for 1 < p < 2 < q < ∞ there are at least four distinct proper closed ideals in , including one that has not been studied before. The proofs use various methods from Banach...
On operators factorizable through space
On operators induced by weakly 2-singular kernels
On operator-valued analytic functions with positive real part whose logarithm belongs to a class
On p-absolutely summing operators acting on Banach lattices
On proper boundary points of the spectrum and complemented eigenspaces.
On Quasi-Normality of Two-Sided Multiplication
2000 Mathematics Subject Classification: 47B47, 47B10, 47A30.In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators. Also we give some applications of this result.
On scalar-valued nonlinear absolutely summing mappings
We investigate cases ("coincidence situations") in which every scalar-valued continuous n-homogeneous polynomial (or every continuous n-linear mapping) is absolutely (p;q)-summing. We extend some well known coincidence situations and obtain several non-coincidence results, inspired by a linear technique due to Lindenstrauss and Pełczyński.