is generated in strong operator topology by two of its elements
Baire classes of affine vector-valued functions
We investigate Baire classes of strongly affine mappings with values in Fréchet spaces. We show, in particular, that the validity of the vector-valued Mokobodzki result on affine functions of the first Baire class is related to the approximation property of the range space. We further extend several results known for scalar functions on Choquet simplices or on dual balls of L₁-preduals to the vector-valued case. This concerns, in particular, affine classes of strongly affine Baire mappings, the...
Baire-like spaces C(X,E)
We characterize Baire-like spaces Cc(X,E) of continuous functions defined on a locally compact and Hewitt space X into a locally convex space E endowed with the compact-open topology.
Balancing vectors and convex bodies
Let U, V be two symmetric convex bodies in and |U|, |V| their n-dimensional volumes. It is proved that there exist vectors such that, for each choice of signs , one has where . Hence it is deduced that if a metrizable locally convex space is not nuclear, then it contains a null sequence such that the series is divergent for any choice of signs and any permutation π of indices.
Banach ideals on Hilbert spaces
Banach Lattices of Compact Maps.
Banach Lattices with Locally Compact Representation Spaces.
Banach limits in vector lattices
Banach S-algebras and conditional basic sequences in non-Montel Fréchet spaces
Banach space techniques underpinning a theory for nearly additive mappings [Book]
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...
Banach spaces which are semi-L-summands in their biduals.
Banach Spaces with the Condition of Mazur.
Banach-Mackey, locally complete spaces, and -summability.
Banach-Mackey spaces.
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
In this article we formalize one of the most important theorems of linear operator theory - the Closed Graph Theorem commonly used in a standard text book such as [10] in Chapter 24.3. It states that a surjective closed linear operator between Banach spaces is bounded.
Banach-Saks properties and spreading models.
Banach-Saks property in some Banach sequence spaces
It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform Kadec-Klee property and property (H) are given.
Banach-Steinhauss theorem in quasi normed spaces
Banachverbände mit ordnungsstetiger Dualnorm.