On deductive varieties of locally convex spaces
On duals of Calderón-Lozanovskiĭ intermediate spaces
We give a description of the dual of a Calderón-Lozanovskiĭ intermediate space φ(X,Y) of a couple of Banach Köthe function spaces as an intermediate space ψ(X*,Y*) of the duals, associated with a "variable" function ψ.
On equivalence of K- and J-methods for (n+1)-tuples of Banach spaces
It is shown that the main results of the theory of real interpolation, i.e. the equivalence and reiteration theorems, can be extended from couples to a class of (n+1)-tuples of Banach spaces, which includes (n+1)-tuples of Banach function lattices, Sobolev and Besov spaces. As an application of our results, it is shown that Lions' problem on interpolation of subspaces and Semenov's problem on interpolation of subcouples have positive solutions when all spaces are Banach function lattices or their...
On extrapolation spaces
Si definisce un nuovo tipo di spazi a partire da un dato spazio di Banach e da un operatore lineare in . Tali spazi si possono pensare come spazi di interpolazione con negativo.
On functors from compact to Banach algebras
On graph -algebras with a linear ideal lattice.
On Groups of Automorphisms of the Tensor Product of von Neumann Algebras.
On inductive limits of matrix algebras over higher dimensional spaces, part II.
On inductive limits of matrix algebras over higher dimensional spaces, part I.
On inductive limits of topological algebras
On interpolation of bilinear operators by methods associated to polygons
Stabiliamo teoremi di interpolazione bilineare per una combinazione dei metodi di - e -interpolazione associati ai poligoni, e per il -metodo. Mostriamo che un simile risultato fallisce per il -metodo, e diamo applicazioni all'interpolazione di spazi di operatori.
On interpolation of tensor products of Banach spaces.
For the complex interpolation method, Kouba proved an important interpolation formula for tensor products of Banach spaces. We give a partial extension of this formula in the injective case for the Gustavsson?Peetre method of interpolation within the setting of Banach function spaces.
On interpolation of weighted -spaces and Ovchinnikov’s theorem
On interpolation with boundary conditions.
On isomorphic classification of tensor products [Book]
On large subspaces of the Schatten -classes
On left -biflat Banach algebras
We study the notion of left -biflatness for Segal algebras and semigroup algebras. We show that the Segal algebra is left -biflat if and only if is amenable. Also we characterize left -biflatness of semigroup algebra in terms of biflatness, when is a Clifford semigroup.
On Limit Permanence of Projectivity and Ingectivity
On Lindenstrauss-Pełczyński spaces
We consider some stability aspects of the classical problem of extension of C(K)-valued operators. We introduce the class ℒ of Banach spaces of Lindenstrauss-Pełczyński type as those such that every operator from a subspace of c₀ into them can be extended to c₀. We show that all ℒ-spaces are of type but not conversely. Moreover, -spaces will be characterized as those spaces E such that E-valued operators from w*(l₁,c₀)-closed subspaces of l₁ extend to l₁. Regarding examples we will show that...
On Local Uniform Topological Algebras
2000 Mathematics Subject Classification: Primary 46H05, 46H20; Secondary 46M20.Every unital "combinatorially regular" commutative uniform complete locally m-convex algebra is local.