On Global Central Decomposition for a Universal Cap.
On Hardy's inequality and eigenvalue distributions
On Hilbert-Schmidt spaces
On hyperreflexivity and rank one density for non-CSL algebras
On hyper-reflexivity of some operator spaces.
On Ideals and Lie Ideals of Compact Operators.
On ideals of operators and of locally convex spaces.
On inclusion relations between Lorentz sequence spaces and inequalities of Lewis type.
On Isolated Points in the Dual Spaces of Locally Compact Groups.
On isomorphisms and hyper-reflexivity of closed subspace lattices.
On isomorphisms between certain subalgebras of B(X)
On joint spectra of operators on a Banach space isomorphic to its square
On local automorphisms and mappings that preserve idempotents
Let B(H) be the algebra of all bounded linear operators on a Hilbert space H. Automorphisms and antiautomorphisms are the only bijective linear mappings θ of B(H) with the property that θ(P) is an idempotent whenever P ∈ B(H) is. In case H is separable and infinite-dimensional, every local automorphism of B(H) is an automorphism.
On multilinear generalizations of the concept of nuclear operators
This paper introduces the class of Cohen p-nuclear m-linear operators between Banach spaces. A characterization in terms of Pietsch's domination theorem is proved. The interpretation in terms of factorization gives a factorization theorem similar to Kwapień's factorization theorem for dominated linear operators. Connections with the theory of absolutely summing m-linear operators are established. As a consequence of our results, we show that every Cohen p-nuclear (1 < p ≤ ∞ ) m-linear mapping...
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 operator ideals determined by sequences.
On p-absolutely summing operators acting on Banach lattices
On positive operator-valued continuous maps
In the paper the geometric properties of the positive cone and positive part of the unit ball of the space of operator-valued continuous space are discussed. In particular we show that
On Pre-parareflexive Operator Algebras
On pre-reflexive algebras and pre-reflexive operators