A Note on Vanishing of the Factor Ext for Köthe Spaces.
A version of the Bartle--Graves theorem for temperate functions.
Adjungierte Funktoren in der Kategorie der p-Bornologischen Räume.
Axioms for convenient calculus
Banach space techniques underpinning a theory for nearly additive mappings [Book]
Banach spaces
Banach spaces, à la recherche du temps perdu.
What follows is the opening conference of the late night seminar at the III Conference on Banach Spaces held at Jarandilla de la Vera, Cáceres. Maybe the reader should not take everything what follows too seriously: after all, it was designed for a friendly seminar, late in the night, talking about things around a table shared by whisky, preprints and almonds. Maybe the reader should not completely discard it. Be as it may, it seems to me by now that everything arrives in the nick of time. A twisted...
Caractérisations des b-espaces libres.
Characterization of dual extensions in the category of Banach spaces.
Coactions and fell bundles.
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...
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...
Correction to the paper: On linear functorial operators extending pseudometrics
Corrigendum to the paper “The universal Banach space with a -suppression unconditional basis”
We observe that the notion of an almost -universal based Banach space, introduced in our earlier paper [1]: Banakh T., Garbulińska-Wegrzyn J., The universal Banach space with a -suppression unconditional basis, Comment. Math. Univ. Carolin. 59 (2018), no. 2, 195–206, is vacuous for . Taking into account this discovery, we reformulate Theorem 5.2 from [1] in order to guarantee that the main results of [1] remain valid.
Duality for Contravariant Functors on Banach Spaces.
Duality, uniqueness of topology and automatic continuity of *-homomorphisms in bornological locally C*-algebras
Ein Permanenzprinzip für vektorwertige Distributionen.
Elements of finite closed descent in Banach and Fréchet algebras
This paper will give a brief survey of ideas related to 'elements of finite closed descent' in certain kinds of topological algebra.
Extensions of Polylinear Mappings