An application of a theorem of Hirsberg and Lazar.
An application of averaging operators to multilinearity.
An application of homological methods to locally convex groups
An application of interpolation theory to Fourier series
An application of quaternionic analysis to the solution of time-independent Maxwell equations and of Stokes’ equation
An application of Ramanujan graphs to C*-algebra tensor products, II
An application of the generalized Maligranda–Orlicz's Lemma.
An application of the Hahn-Banach theorem in convex analysis
An application of the Nash-Moser theorem to ordinary differential equations in Fréchet spaces
A general existence and uniqueness result of Picard-Lindelöf type is proved for ordinary differential equations in Fréchet spaces as an application of a generalized Nash-Moser implicit function theorem. Many examples show that the assumptions of the main result are natural. Applications are given for the Fréchet spaces , , , , for Köthe sequence spaces, and for the general class of subbinomic Fréchet algebras.
An application of the Sakai's theorem to the characterization of - algebras.
An Application of the Theorem of Rudin to the Toeplitz Operators on Odd Spheres.
An application of the theory of edge Sobolev spaces to weakly hyperbolic operators
An approach to generalizing Banach spaces: normed almost linear spaces
An approach to joint spectra
For a given unital Banach algebra A we describe joint spectra which satisfy the one-way spectral mapping property. Each spectrum of this class is uniquely determined by a family of linear subspaces of A called spectral subspaces. We introduce a topology in the space of all spectral subspaces of A and utilize it to the study of the properties of the spectra.
An approach to Jordan-Banach algebras from the theory of nonassociative complete normed algebras
An Approximate Taylor's Theorem for R(X).
An approximation property with respect to an operator ideal
Given an operator ideal , we say that a Banach space X has the approximation property with respect to if T belongs to for every Banach space Y and every T ∈ (Y,X), being the topology of uniform convergence on compact sets. We present several characterizations of this type of approximation property. It is shown that some of the existing approximation properties in the literature may be included in this setting.
An approximation theorem in higher order Orlicz-Sobolev spaces and applications
An approximation theorem related to good compact sets in the sense of Martineau
This note contains an approximation theorem that implies that every compact subset of is a good compact set in the sense of Martineau. The property in question is fundamental for the extension of analytic functionals. The approximation theorem depends on a finiteness result about certain polynomially convex hulls.
An Arithmetic Characterization of Decomposition Methods in Banach Spaces Similar to Pełczyński's Decomposition Method
Inspired by Pełczyński's decomposition method in Banach spaces, we introduce the notion of Schroeder-Bernstein quadruples for Banach spaces. Then we use some Banach spaces constructed by W. T. Gowers and B. Maurey in 1997 to characterize them.