Add to ORKGInternational audienceGiven two normed spaces $X$ , $Y$ , the aim of this paper is establish that the existence of an isomorphism isometric between $ X \times R $ and $ Y \times R$ is equivalent to the existence of an isometric isomorphism between $X$ and $Y$ , provided the norms satisfy an appropriate condition. By means of a counterexample, it is shown that this result fails for arbitrary norms even if $X = Y = R^2$
Abstract. We characterize surjective isometries of the unit spheres of the Tsirelson space T and the...
We give a short proof of a recent result that describes onto isometries of L(X, Y) for certain pairs...
In this article, we prove that any surjective isometry between unit spheres of $\ell^{\infty}$-sum o...
International audienceGiven two normed spaces $X$ , $Y$ , the aim of this paper is establish that th...
We give a condition on norms under which two vector normed spaces $X$ and $Y$ are isometrically isom...
Abstract. Some properties of isometric mappings as well as approximate isometries are studied. 2000 ...
ABSTRACT. Let X be a linear space over a field K = R or C, equipped with a metric ρ. It is proved th...
Abstract. In this paper we extend previous results of Banach, Lamperti and Yeadon on isometries of L...
AbstractIn 1935, Jordan and von Neumann characterized inner product spaces as normed linear spaces s...
There are many characterizations of isometric operators between Ba-nach spaces. In this paper we giv...
We study necessary and sufficient conditions on a bounded operator T defined on the Hilbert space L-...
AbstractWe consider 2-isometries, weak 2-isometries and 2-continuous mappings and investigate the re...
Given an asymmetric normed linear space (X, q), we construct and study its dual space (X*, q*). In p...
In this paper we generalize a result of Hopenwasser and Plastiras (1997) that gives a geometric cond...
We show that the group of isometries of an ultrametric normed space can be seen as a kind of a fract...
Abstract. We characterize surjective isometries of the unit spheres of the Tsirelson space T and the...
We give a short proof of a recent result that describes onto isometries of L(X, Y) for certain pairs...
In this article, we prove that any surjective isometry between unit spheres of $\ell^{\infty}$-sum o...
International audienceGiven two normed spaces $X$ , $Y$ , the aim of this paper is establish that th...
We give a condition on norms under which two vector normed spaces $X$ and $Y$ are isometrically isom...
Abstract. Some properties of isometric mappings as well as approximate isometries are studied. 2000 ...
ABSTRACT. Let X be a linear space over a field K = R or C, equipped with a metric ρ. It is proved th...
Abstract. In this paper we extend previous results of Banach, Lamperti and Yeadon on isometries of L...
AbstractIn 1935, Jordan and von Neumann characterized inner product spaces as normed linear spaces s...
There are many characterizations of isometric operators between Ba-nach spaces. In this paper we giv...
We study necessary and sufficient conditions on a bounded operator T defined on the Hilbert space L-...
AbstractWe consider 2-isometries, weak 2-isometries and 2-continuous mappings and investigate the re...
Given an asymmetric normed linear space (X, q), we construct and study its dual space (X*, q*). In p...
In this paper we generalize a result of Hopenwasser and Plastiras (1997) that gives a geometric cond...
We show that the group of isometries of an ultrametric normed space can be seen as a kind of a fract...
Abstract. We characterize surjective isometries of the unit spheres of the Tsirelson space T and the...
We give a short proof of a recent result that describes onto isometries of L(X, Y) for certain pairs...
In this article, we prove that any surjective isometry between unit spheres of $\ell^{\infty}$-sum o...