Results 11 to 20 of about 594 (44)
Maps on positive definite matrices preserving Bregman and Jensen divergences [PDF]
In this paper we determine those bijective maps of the set of all positive definite $n\times n$ complex matrices which preserve a given Bregman divergence corresponding to a differentiable convex function that satisfies certain conditions.
Molnár, Lajos +2 more
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Cuntz semigroups of compact-type Hopf C*-algebras
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
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About the role of chaos and coarse graining in Statistical Mechanics
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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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]
Given a countable dense subset $S$ of a finite-dimensional normed space $X$, and ...
Balister, Paul +4 more
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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
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Baire spaces and infinite games [PDF]
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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Seven views on approximate convexity and the geometry of K-spaces
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
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On the Mazur--Ulam theorem in fuzzy n--normed strictly convex spaces
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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The Life and Work of D.H. Hyers, 1913-1997 [PDF]
The following is a sketch of the life and work of Donald Holmes Hyers, Professor Emeritus from the University of Southern California. The theorem put forth by Hyers in 1941 concerning linear functional equations has gained a great deal of interest over ...
Singleton, Brent D.
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