AbstractA Banach space is said to be approximately finite-dimensional if it has a nonstandard hull linearly isometric to a hyperfinite-dimensional Banach space or, equivalently, if an ultrapower is linearly isometric to an ultraproduct of finite-dimensional spaces. It is shown that the space C(K) of continuous functions on a compact Hausdorff space K is approximately finite-dimensional if and only if K is totally disconnected and contains a dense subset of isolated points
Let X be a compact subset of a Banach space B. This dissertation is about inferring properties of X ...
Abstract. It is shown that a finite dimensional Banach space has the Eu-clidean distance of maximal ...
We study the structure of Lipschitz and Hölder-type spaces and their preduals on general metric spa...
AbstractA Banach space is said to be approximately finite-dimensional if it has a nonstandard hull l...
Abstract. A subspace Y of a Banach space X is an almost constrained (AC) subspace if any family of c...
This paper treats the embedding of finite-dimensional subsets of a Banach space B into finite-dimens...
Abstract. We study the isometric extension problem for Hölder maps from subsets of any Banach space...
Hurewicz characterized the dimension of separable metrizable spaces by means of finite-to-one maps. ...
For a compact Hausdorff space, we denote by C(K) the Banach space of continuous functions defined in...
AbstractLetXbe a finite-dimensional Banach space. The following affirmations are equivalent:•is a Hi...
summary:We consider the property of relative compactness of subspaces of Hausdorff spaces. Several e...
Abstract. We consider a number of very strong separation properties for connected spaces. A connecte...
First we prove that if a separable Banach space X contains an isometric copy of an infinite-dimensio...
We prove that if X is a separable infinite dimensional Banach space then its isomorphism class has i...
We study the structure of Lipschitz and Hölder-type spaces and their preduals on general metric spac...
Let X be a compact subset of a Banach space B. This dissertation is about inferring properties of X ...
Abstract. It is shown that a finite dimensional Banach space has the Eu-clidean distance of maximal ...
We study the structure of Lipschitz and Hölder-type spaces and their preduals on general metric spa...
AbstractA Banach space is said to be approximately finite-dimensional if it has a nonstandard hull l...
Abstract. A subspace Y of a Banach space X is an almost constrained (AC) subspace if any family of c...
This paper treats the embedding of finite-dimensional subsets of a Banach space B into finite-dimens...
Abstract. We study the isometric extension problem for Hölder maps from subsets of any Banach space...
Hurewicz characterized the dimension of separable metrizable spaces by means of finite-to-one maps. ...
For a compact Hausdorff space, we denote by C(K) the Banach space of continuous functions defined in...
AbstractLetXbe a finite-dimensional Banach space. The following affirmations are equivalent:•is a Hi...
summary:We consider the property of relative compactness of subspaces of Hausdorff spaces. Several e...
Abstract. We consider a number of very strong separation properties for connected spaces. A connecte...
First we prove that if a separable Banach space X contains an isometric copy of an infinite-dimensio...
We prove that if X is a separable infinite dimensional Banach space then its isomorphism class has i...
We study the structure of Lipschitz and Hölder-type spaces and their preduals on general metric spac...
Let X be a compact subset of a Banach space B. This dissertation is about inferring properties of X ...
Abstract. It is shown that a finite dimensional Banach space has the Eu-clidean distance of maximal ...
We study the structure of Lipschitz and Hölder-type spaces and their preduals on general metric spa...
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