Results 81 to 90 of about 7,376 (127)

An overview on the proof of the splitting theorem in non-smooth context

, 2013
We give a quite detailed overview on the proof of the Cheeger-Colding-Gromoll splitting theorem in the abstract framework of spaces with Riemannian Ricci curvature bounded from below.Comment: 52 ...
Gigli, Nicola
core  

Sector operator inequalities involving positive linear maps

Journal of Inequalities and Applications
In this note, we prove the pth power ( p ≥ 2 $p\geq 2$ ) of two new sector operator inequalities for positive linear maps which are due to Bedrani et al. (Positivity 25:1601-1629, 2021) and Nasiri (Filomat 38:3429-3438, 2024), respectively.
Jiqin Chen, Xiaohui Fu, Qi Song, Chuchu Tang   +3 more
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Nonlocal Lagrange multipliers and transport densities

Bulletin of Mathematical Sciences
We prove the existence of generalized solutions of the Monge–Kantorovich equations with fractional [Formula: see text]-gradient constraint, [Formula: see text], associated to a general, possibly degenerate, linear fractional operator of the type, ℒsu ...
Assis Azevedo, José Francisco Rodrigues, Lisa Santos   +2 more
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Kantorovich type inequalities for ordered linear spaces [PDF]

The Electronic Journal of Linear Algebra, 2010
In this paper Kantorovich type inequalities are derived for linear spaces endowed with bilinear operations ◦1 and ◦2. Sufficient conditions are found for vector-valued maps Φ and Ψ and vectors x and y under which the inequality Φ(x)◦2 Φ(y) ≤ C + c / 2√Cc Ψ(x◦1 y) is satisfied. Complementary inequalities are also given. Some results of Dragomir [J. Inequal.
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The geometrical meaning of the Kantorovich–Wielandt inequalities

Linear Algebra and its Applications, 1999
The main results of this paper are Theorem 1. For any symmetric positive definite matrix \(A\), \[ \cos\phi(A^2)= \sin\theta(A), \] where \(\phi(A)\) is the Gustafson operator angle and \(\theta(A)\) is the Kantorovich-Wielandt angle. Theorem 2. For any symmetric positive definite matrix \(A\), \[ \phi^2(A)+ \theta(A)={\pi\over 2}. \] Theorem 3. \(\cos\
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A characterization of chaotic order

Journal of Inequalities and Applications, 2006
The chaotic order among positive invertible operators on a Hilbert space is introduced by . Using Uchiyama's method and Furuta's Kantorovich-type inequality, we will point out that if and only if holds for any , where is any fixed positive number ...
Yang Changsen, Gao Fugen
doaj  

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.
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Recent developments of the operator Kantorovich inequality

Expositiones Mathematicae, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the solution of generalized equations and variational inequalities

Cubo, 2011
Uko and Argyros provided in [18] a Kantorovich-type theorem on the existence and uniqueness of the solution of a generalized equation of the form 𝓕 (𝓤)+ 𝓖(𝓤) ∋ 0, where f is a Fréchet-differentiable function, and g ...
Ioannis K Argyros, Saïd Hilout
doaj  

Kantorovich's inequality

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics, 1960
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