Results 11 to 20 of about 4,804 (146)
Operator versions of the Kantorovich inequality [PDF]
Proceedings of the American Mathematical Society, 1996 The Operator Kantorovich Inequality \[ ( R 2 − r 2 ) u ∗ ( a ∗ a ) u ≤ R 2 ( u ∗
openaire +1 more source
Generalizing the Kantorovich Metric to Projection-Valued Measures [PDF]
, 2016 Given a compact metric space $X$, the collection of Borel probability measures on $X$ can be made into a compact metric space via the Kantorovich metric. We partially generalize this well known result to projection-valued measures. In particular, given a
Davison, Trubee
core +1 more source
Kantorovich type operator inequalities via the Specht ratio
Linear Algebra and its Applications, 2004 The generalized Specht ratio is defined for every \(r\in \mathbb{R}\), \(k> 0\), as \[ S_k(r)= {(k^r- 1)k^{{r\over k^r-1}}\over re\log k}\text{ when }k\neq 1\text{ and }S_1(r)= 1. \] This ratio has been used by some authors in the theory of Hilbert space operator inequalities. For example, \textit{J. I. Fujii}, \textit{T. Furuta}, \textit{T.
Fujii, Jun Ichi +2 more
openaire +1 more source
The strong converse inequality for Bernstein-Kantorovich operators
Computers & Mathematics with Applications, 1995 The aim of this paper is the following Theorem. There exists an absolute positive constant \(C\) such that for all \(f\in L_p [0,1 ]\), \(1\leq p\leq \infty\), there holds \[ C^{-1} K(f, n^{-{1\over 2}})_p\leq |f- K_n f|_p\leq CK (f, n^{-{1\over 2}})_p, \] where \[ K_n (f; x):= (n+1) \sum^n_{k=0} p_{n,k} (x) \int^{(k+1)/ (n+1)}_{k/ (r+1)} f(t) dt ...
Gonska, H.H., Zhou, X.-l.
openaire +2 more sources
Kantorovich-type inequalities for operators via D-optimal design theory
Linear Algebra and its Applications, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pronzato, Luc +2 more
openaire +1 more source
The Schr\"odinger Equation in the Mean-Field and Semiclassical Regime
, 2016 In this paper, we establish (1) the classical limit of the Hartree equation leading to the Vlasov equation, (2) the classical limit of the $N$-body linear Schr\"{o}dinger equation uniformly in N leading to the N-body Liouville equation of classical ...
Golse, François, Paul, Thierry
core +3 more sources
Operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities
Journal of Inequalities and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
TURKISH JOURNAL OF MATHEMATICS, 2019 Summary: We prove analogs of certain operator inequalities, including Hölder-McCarthy inequality, Kantorovich inequality, and Heinz-Kato inequality, for positive operators on the Hilbert space in terms of the Berezin symbols and the Berezin number of operators on the reproducing kernel Hilbert space.
GÜRDAL, Mehmet +2 more
openaire +2 more sources
Methods in Ecology and Evolution, Volume 17, Issue 2, Page 301-321, February 2026.Abstract Quantifying the structure and dynamics of species interactions in ecological communities is fundamental to studying ecology and evolution. While there are numerous approaches to analysing ecological networks, there is not yet an approach that can (1) quantify dissimilarity in the global structure of ecological networks that range from ...
Kai M. Hung +4 more
wiley +1 more source
Curved Noncommutative Tori as Leibniz Quantum Compact Metric Spaces
, 2015 We prove that curved noncommutative tori, introduced by Dabrowski and Sitarz, are Leibniz quantum compact metric spaces and that they form a continuous family over the group of invertible matrices with entries in the commutant of the quantum tori in the ...
Connes A. +18 more
core +1 more source