Cohomologie différentiable des algèbres de polynômes de leurs localisées ou de leurs complétées, et des variétés
Cohomology of operator algebras. III : reduction to normal cohomology
Cohomology of some non-selfadjoint operator algebras.
Cohomology theory on non commutative algebras of continuous functions
Coincidence of topologies on tensor products of Köthe echelon spaces
We investigate conditions under which the projective and the injective topologies coincide on the tensor product of two Köthe echelon or coechelon spaces. A major tool in the proof is the characterization of the επ-continuity of the tensor product of two diagonal operators from to . Several sharp forms of this result are also included.
Commutants of von Neumann correspondences and duality of Eilenberg-Watts theorems by Rieffel and by Blecher
The category of von Neumann correspondences from 𝓑 to 𝓒 (or von Neumann 𝓑-𝓒-modules) is dual to the category of von Neumann correspondences from 𝓒' to 𝓑' via a functor that generalizes naturally the functor that sends a von Neumann algebra to its commutant and back. We show that under this duality, called commutant, Rieffel's Eilenberg-Watts theorem (on functors between the categories of representations of two von Neumann algebras) switches into Blecher's Eilenberg-Watts theorem (on functors...
Commutators in real interpolation with quasi-power parameters.
Compact Hermitian operators on projective tensor products of Banach algebras.
Compact non-nuclear operator problem
Complementation in spaces of symmetric tensor products and polynomials
For a locally convex space E we prove that the space of n-symmetric tensors is complemented in the space of (n+1)-symmetric tensors endowed with the projective topology. Applications and related results are also given.
Complementation in spaces of symmetric tensor products and polynomials.
Our aim here is to announce some properties of complementation for spaces of symmetric tensor products and homogeneous continuous polynomials on a locally convex space E that have, in particular, consequences in the study of the property (BB)n,s recently introduced by Dineen [8].
Complete Spaces of Vector-Valued Holomorphic Germs.
Completely bounded multilinear maps and C*-algebraic cohomology.
Completeness of regular inductive limits.
Complex interpolation and property.
Complex interpolation and spaces
Complex interpolation for Banach spaces
Complex interpolation functors with a family of quasi-power function parameters
For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskiĭ construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function parameters...
Complexification of the projective and injective tensor products
We show that the Taylor (resp. Bochnak) complexification of the injective (projective) tensor product of any two real Banach spaces is isometrically isomorphic to the injective (projective) tensor product of the Taylor (Bochnak) complexifications of the two spaces.
Computing and estimating the global dimension in certain classes af Banach algebras.