Results 31 to 36 of about 565 (36)
, 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
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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
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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
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Property (T) and rigidity for actions on Banach spaces
, 2005 We study property (T) and the fixed point property for actions on $L^p$ and other Banach spaces. We show that property (T) holds when $L^2$ is replaced by $L^p$ (and even a subspace/quotient of $L^p$), and that in fact it is independent of $1\leq ...
A. Connes +59 more
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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
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On the Mazur--Ulam theorem in fuzzy n--normed strictly convex spaces
, 2009 In this paper, we generalize the Mazur--Ulam theorem in the fuzzy real n-normed strictly convex spaces.Comment: 7 ...
Abbaszadeh, S. +2 more
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