The ideal property of tensor products of Banach lattices with applications to the local structure of spaces of absolutely summing operators
On Banach ideals determined by Banach lattices and their applications
Bounded operators on tensor products of Banach lattices
Tensor products of Banach lattices with Applications to the local structure of Banach lattices and spaces of absolutely summing operators
The Maurey extension property for Banach spaces with the Gordon-Lewis property and related structures
The main result of this paper states that if a Banach space X has the property that every bounded operator from an arbitrary subspace of X into an arbitrary Banach space of cotype 2 extends to a bounded operator on X, then every operator from X to an L₁-space factors through a Hilbert space, or equivalently . If in addition X has the Gaussian average property, then it is of type 2. This implies that the same conclusion holds if X has the Gordon-Lewis property (in particular X could be a Banach...
Rosenthal operator spaces
In 1969 Lindenstrauss and Rosenthal showed that if a Banach space is isomorphic to a complemented subspace of an -space, then it is either an -space or isomorphic to a Hilbert space. This is the motivation of this paper where we study non-Hilbertian complemented operator subspaces of non-commutative -spaces and show that this class is much richer than in the commutative case. We investigate the local properties of some new classes of operator spaces for every 2 < p < ∞ which can be considered...
Unsolved Problems
1. The operator ideals and measures in linear spaces 469-472 2. Schauder bases and linear topological invariants 473-478 3. Various problems 479-483
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