Add to ORKGSee also arXiv:1610.07508International audienceWe study the horofunction boundaries of Hilbert and Thompson geome-tries, and of Banach spaces, in arbitrary dimension. By comparing the boundaries of these spaces, we show that the only Hilbert and Thompson geometries that are isometric to Banach spaces are the ones defined on the cone of positive continuous functions on a compact space
The classic Banach-Stone Theorem establishes a form for surjective, complex-linear isometries (dista...
Two Banach spaces X and Y are said to be almost isometric if for every ?? > 1 there exists a ??-isom...
Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the...
See also arXiv:1610.07508International audienceWe study the horofunction boundaries of Hilbert and T...
AbstractLetXbe a finite-dimensional Banach space. The following affirmations are equivalent:•is a Hi...
Hilbert's and Thompson's metric spaces on the interior of cones in JB-algebras are important example...
summary:In this note, we prove that any “bounded” isometries of separable metric spaces can be repre...
The following is known as the geometric hypothesis of Banach: let V be an m-dimensional Banach spa...
The main line of investigation of the present work is the study of some aspects in the analysis of t...
Abstract. We study the isometric extension problem for Hölder maps from subsets of any Banach space...
AbstractIn this paper—which is a continuation of [10]—we exhibit some topological conditions on a Ba...
Let $K$ be a closed, normal cone with nonempty interior $\inta(K)$ in a Banach space $X$. Let $\Sig...
AbstractThe title statement is proved. Similar results for arbitrary Banach spaces are obtained in b...
AbstractA Banach space is said to be approximately finite-dimensional if it has a nonstandard hull l...
AbstractLet K be a closed cone with nonempty interior in a Banach space X. Suppose that f:intK→intK ...
The classic Banach-Stone Theorem establishes a form for surjective, complex-linear isometries (dista...
Two Banach spaces X and Y are said to be almost isometric if for every ?? > 1 there exists a ??-isom...
Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the...
See also arXiv:1610.07508International audienceWe study the horofunction boundaries of Hilbert and T...
AbstractLetXbe a finite-dimensional Banach space. The following affirmations are equivalent:•is a Hi...
Hilbert's and Thompson's metric spaces on the interior of cones in JB-algebras are important example...
summary:In this note, we prove that any “bounded” isometries of separable metric spaces can be repre...
The following is known as the geometric hypothesis of Banach: let V be an m-dimensional Banach spa...
The main line of investigation of the present work is the study of some aspects in the analysis of t...
Abstract. We study the isometric extension problem for Hölder maps from subsets of any Banach space...
AbstractIn this paper—which is a continuation of [10]—we exhibit some topological conditions on a Ba...
Let $K$ be a closed, normal cone with nonempty interior $\inta(K)$ in a Banach space $X$. Let $\Sig...
AbstractThe title statement is proved. Similar results for arbitrary Banach spaces are obtained in b...
AbstractA Banach space is said to be approximately finite-dimensional if it has a nonstandard hull l...
AbstractLet K be a closed cone with nonempty interior in a Banach space X. Suppose that f:intK→intK ...
The classic Banach-Stone Theorem establishes a form for surjective, complex-linear isometries (dista...
Two Banach spaces X and Y are said to be almost isometric if for every ?? > 1 there exists a ??-isom...
Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the...