Let I be the unit interval and X be a real Banach space. The space of continuous functions on I with values in X is denoted by C(I,X). The object of this paper is to introduce Chebechev systems in C(I,X) and study the basi.c properties of such systems, and its relation to interpolation. It is also proved that a subspace that is generated by a weak Chebechev system in C(I,X) is a Chebechev subspace
AbstractThis article introduces a non-specialized audience to continuous domains and their use in an...
AbstractIn this paper we deal with some spaces of vector-valued continuous functionsCσ0(X,E) andCτ0(...
AbstractWe discuss several concepts of continuity, weaker than lower semicontinuity, but still imply...
AbstractIt is shown under what condition a Tchebycheff-space on a real set containing at most one en...
We introduce the concept of an E-valued function algebra, a type of Banach algebra that consist of ...
AbstractIn this paper we study the functions which operate on Re A (the space of real parts of eleme...
Given a k-linear operator T from a product of C(K) spaces into a Banach space X, our main result pro...
AbstractLet A be a subspace of C(X), and let K ⊆ X be an interpolation set for A. Let F be a Banach ...
AbstractLet {ui}i = 0∞ be a sequence of continuous functions on [0, 1] such that (u0,…, uk) is a Tch...
In this thesis we study certain geometric properties of Müntz spa- ces as subspaces of continuous fu...
In this article, we give a definition of a functional space which is constructed from all continuous...
AbstractIn this paper it is determined precisely when a given function belongs to some Tchebycheff s...
Abstract. An interpolation function for a set of finite input-output data is a function which fits t...
For a compact Hausdorff space, we denote by C(K) the Banach space of continuous functions defined in...
AbstractWe obtain several Banach–Stone type theorems for vector-valued functions in this paper. Let ...
AbstractThis article introduces a non-specialized audience to continuous domains and their use in an...
AbstractIn this paper we deal with some spaces of vector-valued continuous functionsCσ0(X,E) andCτ0(...
AbstractWe discuss several concepts of continuity, weaker than lower semicontinuity, but still imply...
AbstractIt is shown under what condition a Tchebycheff-space on a real set containing at most one en...
We introduce the concept of an E-valued function algebra, a type of Banach algebra that consist of ...
AbstractIn this paper we study the functions which operate on Re A (the space of real parts of eleme...
Given a k-linear operator T from a product of C(K) spaces into a Banach space X, our main result pro...
AbstractLet A be a subspace of C(X), and let K ⊆ X be an interpolation set for A. Let F be a Banach ...
AbstractLet {ui}i = 0∞ be a sequence of continuous functions on [0, 1] such that (u0,…, uk) is a Tch...
In this thesis we study certain geometric properties of Müntz spa- ces as subspaces of continuous fu...
In this article, we give a definition of a functional space which is constructed from all continuous...
AbstractIn this paper it is determined precisely when a given function belongs to some Tchebycheff s...
Abstract. An interpolation function for a set of finite input-output data is a function which fits t...
For a compact Hausdorff space, we denote by C(K) the Banach space of continuous functions defined in...
AbstractWe obtain several Banach–Stone type theorems for vector-valued functions in this paper. Let ...
AbstractThis article introduces a non-specialized audience to continuous domains and their use in an...
AbstractIn this paper we deal with some spaces of vector-valued continuous functionsCσ0(X,E) andCτ0(...
AbstractWe discuss several concepts of continuity, weaker than lower semicontinuity, but still imply...