A Free Convenient Vector Space for Holomorphic Spaces.
A lifting theorem for locally convex subspaces of
We prove that for every closed locally convex subspace E of and for any continuous linear operator T from to there is a continuous linear operator S from to such that T = QS where Q is the quotient map from to .
A note on the lifting of linear and locally convex topologies on a quotient space.
A remark on finite-dimensional -spaces
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 .
Approximate biflatness and Johnson pseudo-contractibility of some Banach algebras
We study the structure of Lipschitz algebras under the notions of approximate biflatness and Johnson pseudo-contractibility. We show that for a compact metric space , the Lipschitz algebras and are approximately biflat if and only if is finite, provided that . We give a necessary and sufficient condition that a vector-valued Lipschitz algebras is Johnson pseudo-contractible. We also show that some triangular Banach algebras are not approximately biflat.
Banach space techniques underpinning a theory for nearly additive mappings [Book]
Banach spaces
Bemerkungen über die Approximationseigenschaft lokalkonvexer Funktionenräume.
Bounded linear maps between (LF)-spaces.
Characterizations of pairs (E,F) of complete (LF)?spaces such that every continuous linear map from E to F maps a 0?neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)?spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Önal, T. Terzioglu and D. Vogt.
Characterization of dual extensions in the category of Banach spaces.
Characterization of subspaces and quotients of nuclear -spaces
Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces
Continuous homomorphisms of Arens-Michael algebras.
Direct summands of systems of continuous linear transformations [Book]
Espaces d'opérateurs : une nouvelle dualité
Extending and lifting some linear topological structures.
Extensions of certain real rank zero -algebras
G. Elliott extended the classification theory of -algebras to certain real rank zero inductive limits of subhomogeneous -algebras with one dimensional spectrum. We show that this class of -algebras is not closed under extensions. The relevant obstruction is related to the torsion subgroup of the -group. Perturbation and lifting results are provided for certain subhomogeneous -algebras.
Factorization by Lattice Homomorphisms.