Analytic sheaves in Banach spaces
Angles in metric and normed linear spaces
Another approach to characterizations of generalized triangle inequalities in normed spaces
In this paper, we consider a generalized triangle inequality of the following type: where (X, ‖·‖) is a normed space, (µ1, ..., µn) ∈ ℝn and p > 0. By using ψ-direct sums of Banach spaces, we present another approach to characterizations of the above inequality which is given by [Dadipour F., Moslehian M.S., Rassias J.M., Takahasi S.-E., Nonlinear Anal., 2012, 75(2), 735–741].
Answer to a question by M. Feder about K(X,Y).
We show that a Banach space constructed by Bourgain-Delbaen in 1980 answers a question put by Feder in 1982 about spaces of compact operators.
Antiproximinal sets in the Banach space
If is a Banach space then the Banach space of all -valued convergent sequences contains a nonvoid bounded closed convex body such that no point in has a nearest point in .
Antiproximinal ѕets in Banach ѕpaces
Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic
Application à la Dualité d'une Propriété d'Intersection de Boules.
Application de l’étude de certaines formes linéaires aléatoires au plongement d’espaces de Banach dans des espaces
Application des ultraproduits à l'étude des espaces et des algèbres de Banach
Application of Duality Theory to spaces of Measures
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.