Results 211 to 220 of about 524,848 (251)
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On Monotone Operators and Forms
Journal of Convex Analysis, 2005Consider a set-valued operator mapping points of a real Banach space into convex and weak* closed subsets of the dual space. It is shown that such operators can be investigated via the notion of a form. In particular, continuity, monotonicity, maximal monotonicity, and coerciveness are considered. Moreover, a calculus of forms is derived.
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Distributivity inequalities of monotonic operations
Fuzzy Sets and Systems, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Józef Drewniak, Ewa Rak
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Monotonicity and the Expressibility of NP Operators
Mathematical Logic Quarterly, 1994AbstractWe investigate why similar extensions of first‐order logic using operators (that is, generalized quantifiers) corresponding to NP‐complete decision problems apparently differ in expressibility: the logics capture either NP or LNP. It had been conjectured that the complexity class captured is NP if and only if the operator is monotone.
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On locally internal monotonic operations
Fuzzy Sets and Systems, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Javier Martín +2 more
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Math. Log. Q., 2011
This paper extends some results on monotone Borel hull operations obtained in [\textit{M. Elekes} and \textit{A. Máthé}, Fundam. Math. 205, No. 2, 105--115 (2009; Zbl 1189.28002)] to a slightly more general and abstract context, which allows the authors to answer some questions posed in the mentioned paper. Call a triple \( (X, \mathcal{S}, \mathcal{I})
Marek Balcerzak, Tomasz Filipczak
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This paper extends some results on monotone Borel hull operations obtained in [\textit{M. Elekes} and \textit{A. Máthé}, Fundam. Math. 205, No. 2, 105--115 (2009; Zbl 1189.28002)] to a slightly more general and abstract context, which allows the authors to answer some questions posed in the mentioned paper. Call a triple \( (X, \mathcal{S}, \mathcal{I})
Marek Balcerzak, Tomasz Filipczak
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On a type of monotonicity for multidimensional operators
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gaspar Mayor, Tomasa Calvo
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On Monotone Product of Operator Algebras
Acta Mathematica Sinica, English Series, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Wen Ming, Wang, Li Guang
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Characterization of approximate monotone operators
2022The 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, 2011AbstractIn 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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Monotone operators on Gödel logic
Archive for Mathematical Logic, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oliver Fasching, Matthias Baaz
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