Results 11 to 20 of about 4,878 (176)
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.
Hamdullah Başaran +2 more
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Extracta Mathematicae, 2023 Let H be a Hilbert space. In this paper we show among others that, if f, g are continuous on the interval I with 0 <γ ≤ f(t)/g(t)≤ Γ for t ∈ I and if A and B are selfadjoint operators with Sp (A), Sp (B) ⊂ I, then [f1−ν(A) gν (A)] ⊗ [fν(B) g1−ν (B)] ≤ (1 − ν) f (A) ⊗ g (B) + ν g (A) ⊗ f (B) ≤ [(γ + Γ) 2/4γΓ]R [f1−ν(A) gν (A)]
Sever S Dragomir
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Extending Kantorovich-Type Inequalities to Normal Operators
Advances in Linear Algebra & Matrix Theory, 2018 We will extend some of the Kantorovich-Type inequalities for positive finite dimensional matrices to infinite dimensional normal operators by applying The Two-Nonzero Component Lemma and converting them to an An-tieigenvalue-Type problem.
Morteza Seddighin
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Results under log A ≥ log B can be derived from ones under A ≥ B ≥ 0 by Uchiyama's method - associated with Furuta and Kantorovich type operator inequalities [PDF]
Mathematical Inequalities & Applications, 2000 In the paper it is shown that some results under the chaotic order \(\log A\geq\log B\) (\(A\) and \(B\) are bounded linear Hilbert space operators) on Furuta type inequalities and Kantorovich type inequalities can be both derived from ones under the usual order \(A\geq B\geq 0\) by using \textit{M. Uchiyama}'s method. [Math. Inequal. Appl. 2, No.
Takayuki Furuta
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Improved operator Kantorovich and Wielandt inequalities for positive linear maps [PDF]
, 2015 11 ...
Wenshi Liao, Junliang Wu
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Kantorovich Type Integral Inequalities for Tensor Product of Continuous Fields of Hilbert Space Operators [PDF]
, 2015 This paper presents a number of Kantorovich type integral inequalities involving tensor products of continuous fields of bounded linear operators on a Hilbert space. Kantorovich type inequality in which the product is replaced by an operator mean is also considered. Such inequalities include discrete inequalities as special cases.
Pattrawut Chansangiam
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Improved Kantorovich and Wielandt operator inequalities for positive linear maps
Filomat, 2017 This paper improves and generalizes the Kantorovich and Wielandt inequalities for positive linear maps on Hilbert space operators and presents more general and precise results compared to many recent results.
Wenshi Liao, Junliang Wu
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Recent developments of the operator Kantorovich inequality
Expositiones Mathematicae, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Sal Moslehian
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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 ...
Heiner Gonska, Xinlong Zhou
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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.
Takayuki Furuta
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