Results 51 to 60 of about 4,123 (102)
On maps which preserve equality of distance in F-spaces [PDF]
, 2007 In order to generalize the results of Mazur-Ulam and Vogt, we shall prove that any map T which preserves equality of distance with T(0)=0 between two F-spaces without surjective condition is linear.
D. Tan
semanticscholar +1 more source
Cuntz semigroups of compact-type Hopf C*-algebras
, 2017 The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism.
Kucerovsky, Dan
core +2 more sources
About the role of chaos and coarse graining in Statistical Mechanics
, 2014 We discuss the role of ergodicity and chaos for the validity of statistical laws. In particular we explore the basic aspects of chaotic systems (with emphasis on the finite-resolution) on systems composed of a huge number of particles.Comment: Summer ...
Falasco, Gianmaria +2 more
core +1 more source
Random Geometric Graphs and Isometries of Normed Spaces [PDF]
, 2015 Given a countable dense subset $S$ of a finite-dimensional normed space $X$, and ...
Balister, Paul +4 more
core +3 more sources
, 2012 In this paper, we give the general solution of the functional equation $$\big\{\|f(x)+f(y)\|,\|f(x)-f(y)\|\big\}=\big\{\|x+y\|,\|x-y\|\big\}\qquad(x,y\in X)$$ where $f:X\to Y$ and $X,Y$ are inner product spaces. Related equations are also considered. Our
Maksa, Gyula, Páles, Zsolt
core +1 more source
The Mazur-Ulam property for the space of complex null sequences
, 2017 Given an infinite set $ $, we prove that the space of complex null sequences $c_0( )$ satisfies the Mazur-Ulam property, that is, for each Banach space $X$, every surjective isometry from the unit sphere of $c_0( )$ onto the unit sphere of $X$ admits a (unique) extension to a surjective real linear isometry from $c_0( )$ to $X$.
Jiménez-Vargas, Antonio +3 more
openaire +2 more sources
, 2004 The largest Lyapunov exponent of a system composed by a heavy impurity embedded in a chain of anharmonic nearest-neighbor Fermi-Pasta-Ulam oscillators is numerically computed for various values of the impurity mass $M$.
F. Cecconi +13 more
core +1 more source
Baire spaces and infinite games [PDF]
, 2014 It is well known that if the nonempty player of the Banach-Mazur game has a winning strategy on a space, then that space is Baire in all powers even in the box topology.
Galvin, Fred, Scheepers, Marion
core
Seven views on approximate convexity and the geometry of K-spaces
, 2005 As in Hokusai's series of paintings "Thirty six views of mount Fuji" in which mount Fuji's is sometimes scarcely visible, the central topic of this paper is the geometry of $K$-spaces although in some of the seven views presented $K$-spaces are not ...
Castillo, Jesus M. F. +2 more
core +2 more sources