On an embedding criterion for interpolation spaces and application to indefinite spectral problems.
On an infinite-dimensional version of the Kreiss matrix theorem
On Arens-Michael algebras which do not have non-zero injective ⨶-modules
A certain class of Arens-Michael algebras having no non-zero injective topological ⨶-modules is introduced. This class is rather wide and contains, in particular, algebras of holomorphic functions on polydomains in , algebras of smooth functions on domains in , algebras of formal power series, and, more generally, any nuclear Fréchet-Arens-Michael algebra which has a free bimodule Koszul resolution.
On *-autonomous categories of topological vector spaces
On Banach Spaces with the Gelfand-Philips Property.
On C*-algebra extensions relative to a factor of type II...
On Cartan Homotopy Formulas in Cyclic Homology.
On Cental Morphisms
On (Co)homology of triangular Banach algebras
Suppose that A and B are unital Banach algebras with units and , respectively, M is a unital Banach A,B-module, is the triangular Banach algebra, X is a unital -bimodule, , , and . Applying two nice long exact sequences related to A, B, , X, , , and we establish some results on (co)homology of triangular Banach algebras.
On commutativity of interpolation with intersection
On complete Saks spaces
On complex interpolation and spectral continuity
Let , 0 ≤ t ≤ 1, be Banach spaces obtained via complex interpolation. With suitable hypotheses, linear operators T that act boundedly on both and will act boundedly on each . Let denote such an operator when considered on , and denote its spectrum. We are motivated by the question of whether or not the map is continuous on (0,1); this question remains open. In this paper, we study continuity of two related maps: (polynomially convex hull) and (boundary of the polynomially convex...
On complex interpolation with an analytic functional.
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.