Results 291 to 300 of about 1,838,887 (337)

On Monotone Product of Operator Algebras

Acta Mathematica Sinica, English Series, 2006
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Wu, Wen Ming, Wang, Li Guang
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Characterization of approximate monotone operators

2022
The authors study approximate monotone operators. They show that a well-known property of monotone operators, namely, representing by convex functions, remains valid for this larger class of operators. In this general framework, results of \textit{S.
Rezaei, Mahboubeh, Mirsaney, Zahra Sadat
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Operator Reverse Monotonicity of the Inverse

The American Mathematical Monthly, 2011
AbstractIn statistics and econometrics, the equivalence between matrix inequalities A ≥ B ⇔ B−1 ≥ A−1 is used to obtain a lower bound on the variance matrix, where A, B are symmetric and positive definite. The same property holds for linear operators on Hilbert spaces that are bijective, self-adjoint, and positive definite.
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A Monotone Hull Operation for Maps

Journal of Convex Analysis, 2017
The convex hull of a function φ is its largest l.s.c. convex minorant. In this paper, we propose a similar construction for monotone vector fields. The definition is based on the theory of autoconjugate functions (which are also called self-dual Lagrangians) and their relation to monotone ...
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Variational Sum of Monotone Operators

Journal of Convex Analysis, 1994
The sum of (nonlinear) maximal monotone operators is reconsidered from the Yosida approximation and graph-convergence point of view. This leads to a new concept, called variational sum, which coincides with the classical (pointwise) sum when the classical sum happens to be maximal monotone. In the case of subdifferentials of convex lower semicontinuous
Attouch, H., Baillon, J.-B., Théra, M.
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Maximal Monotonicity of a Nemytskii Operator

Functional Analysis and Its Applications, 2021
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Regular Maximal Monotone Operators

Set-Valued Analysis, 1998
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Verona, Andrei, Verona, Maria E.
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Monotone operators on Gödel logic

Archive for Mathematical Logic, 2014
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Oliver Fasching, Matthias Baaz
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Monotone Semigroups of Operators on Cones*

Canadian Mathematical Bulletin, 1969
In this paper we consider a special class of linear operators defined on a cone K in a Banach space X. This class of operators is the natural generalization of a class of operators which has applications in the theory of interpolation spaces. In particular, using the criteria developed in Theorem 1, it is possible to characterize those sequence spaces ...
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A Degree for Operators of Monotone Type

Mathematische Nachrichten, 1983
The degreee of operators between such Banach spaces that form a dual system in the sense of Schaefer is defined, under a weak continuity hypothesis. The usual properties of the degree are derived for operators of monotone type and it is computed for coercive and monotone mappings.
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