Results 21 to 30 of about 9,917 (252)
Operator Monotone Functions and Convexity of Its Derivatives Norms
Introduction Given the important role convex and quasi-convex functions play in many areas of mathematics and especially in optimization, one of the inequalities that has attracted the attention of many mathematicians in recent decades is Hermit ...
Zahra Rahimi Chegeni +2 more
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Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators
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J. C. Yao, Y. C. Lin, L. C. Zeng
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Chen, Xueying, Li, Guanfeng
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Renyi generalizations of the conditional quantum mutual information [PDF]
The conditional quantum mutual information $I(A;B|C)$ of a tripartite state $\rho_{ABC}$ is an information quantity which lies at the center of many problems in quantum information theory.
Accardi L. +6 more
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Convergence theorems for generalized projections and maximal monotone operators in Banach spaces [PDF]
We study a sequence of generalized projections in a reflexive, smooth, and strictly convex Banach space. Our result shows that Mosco convergence of their ranges implies their pointwise convergence to the generalized projection onto the limit set. Moreover, using this result, we obtain strong and weak convergence of resolvents for a sequence of maximal ...
Takanori Ibaraki +2 more
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Logical metatheorems for accretive and (generalized) monotone set-valued operators
Accretive and monotone operator theory are central branches of nonlinear functional analysis and constitute the abstract study of certain set-valued mappings between function spaces. This paper deals with the computational properties of these accretive and (generalized) monotone set-valued operators.
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$\alpha$-Logarithmic negativity [PDF]
The logarithmic negativity of a bipartite quantum state is a widely employed entanglement measure in quantum information theory, due to the fact that it is easy to compute and serves as an upper bound on distillable entanglement.
Wang, Xin, Wilde, Mark M.
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Monotone and generalized monotone bifunctions and their application to operator theory [PDF]
Το θέμα της παρούσας διατριβής είναι η μελέτη των μονότονων και γενικευμένα μονότονων «δισυναρτήσεων», δηλαδή συναρτήσεων F:CxCR, όπου C είναι υποσύνολο του χώρου Banach X, οι οποίες ικανοποιούν τη σχέση f(x,y)+f(y,x)<=0. Κύριος σκοπός είναι η συσχέτιση των ιδιοτήτων των μονότονων δισυναρτήσεων με αντίστοιχες ιδιότητες των πλειότιμων μονότονων ...
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A note on the star order in Hilbert spaces [PDF]
We study the star order on the algebra L(H) of bounded operators on a Hilbert space H. We present a new interpretation of this order which allows to generalize to this setting many known results for matrices: functional calculus, semi-lattice properties,
Antezana, Jorge Abel +3 more
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Convexity properties of nonlinear maximal monotone operators
Minty [9] has shown that, when X is finite-dimensional and T is a maximal monotone operator, the sets D(T) and R(T) are almost convex, in the sense that each contains the relative interior of its convex hull.
R. Rockafellar
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