A universal Lipschitz extension property of Gromov hyperbolic spaces.
A version of the Bartle--Graves theorem for temperate functions.
About certain isomorphic properties of Banach spaces in projective tensor products.
This note is an announcement of results contained in the papers [4], [5], [6] concerning isomorphic properties of Banach spaces in projective tensor products (for this definition and some property we refer to [1]). At the end, some new result is obtained too.
Absolute bases, tensor products and a theorem of Bohr
Absolutely p-summing operators and Banach spaces containing all uniformly complemented
Absolutely (r,p,q)-summing inclusions
As a continuation of the work of Bennett and Carl for the case q = ∞, we consider absolutely (r,p,q)-summing inclusion maps between Minkowski sequence spaces, 1 ≤ p,q ≤ 2. Using these results we deduce parts of the limit orders of the corresponding operator ideals and an inclusion theorem between the ideals of (u,s,t)-nuclear and of absolutely (r,p,q)-summing operators, which gives a new proof of a result of Carl on Schatten class operators. Furthermore, we also consider inclusions between arbitrary...
Absolutely summing operators between Banach spaces of finite cotype.
Acyclic inductive spectra of Fréchet spaces
We provide new characterizations of acyclic inductive spectra of Fréchet spaces which improve the classical theorem of Palamodov and Retakh. It turns out that acyclicity, sequential retractivity (defined by Floret) and further strong regularity conditions (introduced e.g. by Bierstedt and Meise) are all equivalent. This solves a problem that was folklore since around 1970. For inductive limits of Fréchet-Montel spaces we obtain even stronger results, in particular, Grothendieck's problem whether...
Addendum to: "Linear operations, tensor products, and contractive projections in function spaces" (Studia Math. 38 (1970), pp. 131-186)
Adjungierte Funktoren in der Kategorie der p-Bornologischen Räume.
Algebraic quantum field theory and noncommutative moment problems. II
Algèbres de fonctions analytiques dans le disque
Algèbres -adiques
All nuclear C*-algebras are amenable.
Amenability for discrete convolution semigroup algebras.
Amenability for dual Banach algebras
We define a Banach algebra 𝔄 to be dual if 𝔄 = (𝔄⁎)* for a closed submodule 𝔄⁎ of 𝔄*. The class of dual Banach algebras includes all W*-algebras, but also all algebras M(G) for locally compact groups G, all algebras ℒ(E) for reflexive Banach spaces E, as well as all biduals of Arens regular Banach algebras. The general impression is that amenable, dual Banach algebras are rather the exception than the rule. We confirm this impression. We first show that under certain conditions an amenable...
Amenability for Fell bundles.
An additivity formula for the strict global dimension of C(Ω)
Let A be a unital strict Banach algebra, and let K + be the one-point compactification of a discrete topological space K. Denote by the weak tensor product of the algebra A and C(K +), the algebra of continuous functions on K +. We prove that if K has sufficiently large cardinality (depending on A), then the strict global dimension is equal to .
An associative law for infinite topological A-tensor product A-algebras
An atomic theory of ergodic spaces