Real Banach Algebras. II.
Real interpolation and compactness.
The behavior of compactness under real interpolation real is discussed. Classical results due to Krasnoselskii, Lions-Peetre, Persson, and Hayakawa are described, as well as others obtained very recently by Edmunds, Potter, Fernández, and the author.
Real interpolation for families of Banach spaces
We develop a new method of real interpolation for infinite families of Banach spaces that covers the methods of Lions-Peetre, Sparr for N spaces, Fernández for spaces and the recent method of Cobos-Peetre.
Real interpolation for families of Banach spaces (II).
Real method of interpolation on subcouples of codimension one
We find necessary and sufficient conditions under which the norms of the interpolation spaces and are equivalent on N, where N is the kernel of a nonzero functional ψ ∈ (X₀ ∩ X₁)* and is the normed space N with the norm inherited from (i = 0,1). Our proof is based on reducing the problem to its partial case studied by Ivanov and Kalton, where ψ is bounded on one of the endpoint spaces. As an application we completely resolve the problem of when the range of the operator (S denotes the...
Recent developments in the theory of function spaces
Reflexivity of projective tensor products of echelon and coechelon Kothe spaces.
Regolarizzazione delle distribuzioni funtoriali, di una variabile, quasi periodiche, mediante funzioni funtoriali, e loro approssimazioni
Regular Fréchet-Lie groups of invertible elements in some inverse limits of unital involutive Banach algebras.
Regularity of general weighted inductive limits.
Reiteration and a Wolff theorem for interpolation methods defined by means of polygons
We prove a reiteration theorem for interpolationmethods defined by means of polygons, and a Wolff theorem for the case when the polygon has 3 or 4 vertices. In particular, we establish a Wolff theorem for Fernandez' spaces, which settles a problem left over in [5].
Relations between certain theories in functional analysis and general topology
Relative Commutant of a von Neumann Algebra in Its Crossed Product by a Group Action.
Relative Commutants in Compact Convex Sets and Banach Spaces.
Remarks on a Paper of Bachelis and Gilbert.
Remarks on interpolation of bilinear operators by methods associated to polygons
We study interpolation of bilinear operators by the polygons methods. We prove an interpolation theorem of type into spaces, and show the optimality of the precedings results.
Remarks on rich subspaces of Banach spaces
We investigate rich subspaces of L₁ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.
Remarks on tensor products and their applications in quantum theory I. General considerations
Remarks on tensor proucts and their applications in quantum theory - II. Spectral properties
Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type