Extensions of Lieb’s Concavity Theorem
نویسندگان
چکیده
منابع مشابه
Extensions of Perov theorem
[Perov, A. I., On Cauchy problem for a system of ordinary diferential equations, (in Russian), Priblizhen. Metody Reshen. Difer. Uravn., 2 (1964), 115-134] used the concept of vector valued metric space and obtained a Banach type fixed point theorem on such a complete generalized metric space. In this article we study fixed point results for the new extensions of Banach’s contraction principle ...
متن کاملConcavity properties of extensions of the parallel volume
In this paper we establish concavity properties of two extensions of the classical notion of the outer parallel volume. On the one hand, we replace the Lebesgue measure by more general measures. On the other hand, we consider a functional version of the outer parallel sets.
متن کاملSome extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
In this brief note, using the technique of measures of noncompactness, we give some extensions of Darbo fixed point theorem. Also we prove an existence result for a quadratic integral equation of Hammerstein type on an unbounded interval in two variables which includes several classes of nonlinear integral equations of Hammerstein type. Furthermore, an example is presented to show the effic...
متن کاملBrégman’s theorem and extensions
Minc conjectured, and Brégman proved, a sharp upper bound on the permanent of an n by n 0-1 matrix with given row sums (equivalently, on the number of perfect matchings in a bipartite graph with each partition class having size n and with fixed degree sequence for one of the two classes). Here we present Radhakrishnan’s entropy proof of Brégman’s theorem, and Alon and Friedland’s proof of an an...
متن کاملOn extensions of Myers' theorem
Let M be a compact Riemannian manifold and h a smooth function on M. Let h (x) = inf jvj=1 (Ric x (v; v) ? 2Hess(h) x (v; v)). Here Ric x denotes the Ricci curvature at x and Hess(h) is the Hessian of h. Then M has nite fundamental group if h ? h < 0. Here h =: + 2L rh is the Bismut-Witten Laplacian. This leads to a quick proof of recent results on extension of Myers' theorem to mani-folds with...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2006
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-006-9155-2