Application of Interpolation Theory to the Analysis of the Convergence Rate for Finite Difference Schemes of Parabolic Type
Application of sets to some classes of operators
The paper contains some applications of the notion of sets to several classes of operators on Banach lattices. In particular, we introduce and study the class of order -Dunford-Pettis operators, that is, operators from a Banach space into a Banach lattice whose adjoint maps order bounded subsets to an sets. As a sequence characterization of such operators, we see that an operator from a Banach space into a Banach lattice is order -Dunford-Pettis, if and only if for for every weakly null...
Application of Rademacher systems to operator characterizations of Banach lattices
Applications des ultraproduits à la théorie des plongements des espaces de Banach
Applications of some results of infinite-dimensional topology to the topological classification of operator images [Book]
Applications of spherical designs to Banach space theory
Spherical designs constitute sets of points distributed on spheres in a regular way. They can be used to construct finite-dimensional normed spaces which are extreme in some sense: having large projection constants, big or small Banach-Mazur distance to Hilbert spaces or -spaces. These examples provide concrete illustrations of results obtained by more powerful probabilistic techniques which, however, do not exhibit explicit examples. We give a survey of such constructions where the geometric invariants...
Applications of ultrapowers and Lipschitz classification of Banach spaces
Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
Applications of Ultraproducts to Infinite Dimensional Holomorphy.
Approximating fixed points of -firmly nonexpansive mappings in Banach spaces.
Approximation des bornés d'un espace de Banach par des compacts et applications
Approximation des optima de Pareto
Approximation of holomorphic mappings on infinite dimensional spaces.
In this article we examine necessary and sufficient conditions for the predual of the space of holomorphic mappings of bounded type, Gb(U), to have the approximation property and the compact approximation property and we consider when the predual of the space of holomorphic mappings, G(U), has the compact approximation property. We obtain also similar results for the preduals of spaces of m-homogeneous polynomials, Q(mE).
Approximation of Lipschitz Mappings
2000 Mathematics Subject Classification: 46B03We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping.Supported by grants GAUK 277/2001, GA CR 201-01-1198, AV 101-90-03. This paper is a part of PhD thesis prepared under the supervision of Professor Petr Hájek.
Approximation of positive operators and continuity of the spectral radius. II.
Approximation on Locally Convex Spaces.
Approximation par des variétés algébriques dans les espaces hilbertiens (Variation sur un thème de Vituškin)
Approximation problems in modular spaces of double sequences.
Let X denote the space of all real, bounded double sequences, and let Φ, φ, Γ be φ-functions. Moreover, let Ψ be an increasing, continuous function for u ≥ 0 such that Ψ(0) = 0.In this paper we consider some spaces of double sequences provided with two-modular structure given by generalized variations and the translation operator (...).
Approximation properties and universal Banach spaces
Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions
Given an operator ideal ℐ, a Banach space E has the ℐ-approximation property if the identity operator on E can be uniformly approximated on compact subsets of E by operators belonging to ℐ. In this paper the ℐ-approximation property is studied in projective tensor products, spaces of linear functionals, spaces of linear operators/homogeneous polynomials, spaces of holomorphic functions and their preduals.