On the projection constants of some topological spaces and some applications.
On the Projective Tensor Product of Vector-Valued Measures. II.
On the projectivity and flatness of some group modules
In the sequel of the work of H. G. Dales and M. E. Polyakov we give a few more examples of modules over the Banach algebra L¹(G) whose projectivity resp. flatness implies the compactness resp. amenability of the locally compact group G.
On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.
Given a sublinear operator T satisfying that ||Tf||Lp(ν) ≤ C/(p-1) ||f||Lp(μ), for every 1 < p ≤ p0, with C independent of f and p, it was proved in [C] that... [check the paper abstract for the formula]This estimate implies that T: L log L → B, where B is a rearrangement invariant space. The purpose of this note is to give several characterizations of the space B and study its associate space. This last information allows us to formulate an extrapolation result of Zygmund type for linear...
On the reflexivity of pairs of isometries and of tensor products of some operator algebras
On the reitration property of ... spaces.
On the relation between complex and real methods of interpolation
We study those compatible couples of Banach spaces for which the complex method interpolation spaces are also described by the K-method of interpolation. As an application we present counter-examples to Cwikel's conjecture that all interpolation spaces of a Banach couple are described by the K-method whenever all complex interpolation spaces have this property.
On the Sets of Type VV++
On the spectral properties of tensor products of linear operators in Banach spaces
On the spectrum of a morphism of quotient Hilbert spaces.
On the structure of tensor norms related to (p,σ)-absolutely continuous operators.
We define an interpolation norm on tensor products of p-integrable function spaces and Banach spaces which satisfies intermediate properties between the Bochner norm and the injective norm. We obtain substitutes of the Chevet-Persson-Saphar inequalities for this case. We also use the calculus of traced tensor norms in order to obtain a tensor product description of the tensor norm associated to the interpolated ideal of (p, sigma)-absolutely continuous operators defined by Jarchow and Matter. As...
On the structure of ultraproducts of real interpolation spaces.
On the Tensor Stability of s-Number Ideals.
On the vanishing of cohomology groups with values in a product sheaf.
On the Variational Characterization of Bivariate Interpolation Methods.
On the volume of unit balls in Banach spaces
On topologically nilpotent algebras
On Totally Barreled Spaces.
On ultrapowers of Banach spaces of type
We prove that no ultraproduct of Banach spaces via a countably incomplete ultrafilter can contain c₀ complemented. This shows that a "result" widely used in the theory of ultraproducts is wrong. We then amend a number of results whose proofs have been infected by that statement. In particular we provide proofs for the following statements: (i) All M-spaces, in particular all C(K)-spaces, have ultrapowers isomorphic to ultrapowers of c₀, as also do all their complemented subspaces isomorphic to their...
On ultrapowers of linear topological spaces without convexity conditions.