Search results for " Opera"

showing 10 items of 3606 documents

Upper and lower generalized factoraggregations based on fuzzy equivalence relation

2014

We develop the concept of a general factoraggre-gation operator introduced by the authors on the basis of an equivalence relation and applied in two recent papers for analysis of bilevel linear programming solving parameters. In the paper this concept is generalized by using a fuzzy equivalence relation instead of the crisp one. By using a left-continuous t-norm and its residuum we define and investigate two modifications of such generalized construction: upper and lower generalized factoraggregations. These generalized factoraggregations can be used for construction of extensional fuzzy sets.

AlgebraDiscrete mathematicsFuzzy classificationFuzzy setEquivalence relationFuzzy numberGeneralized linear array modelFuzzy set operationsFuzzy subalgebraDefuzzificationMathematics2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
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Lambda substitution algebras

1993

In the paper an algebraic metatheory of type-free λ-calculus is developed. Our version is based on lambda substitution algebras (λSAs), which are just SAs introduced by Feldman (for algebraizing equational logic) enriched with a countable family of unary operations of λ-abstraction and a binary operation of application. Two representation theorems, syntactical and semantic, are proved, what directly provides completeness theorems.

AlgebraDiscrete mathematicsUnary operationBinary operationComputer Science::Logic in Computer ScienceCompleteness (logic)Substitution (algebra)Countable setGödel's completeness theoremEquational logicAlgebraic logicMathematics
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Partial $\ast$-algebras of distributions

2005

The problem of multiplying elements of the conjugate dual of certain kind of commutative generalized Hilbert algebras, which are dense in the set of C ∞ -vectors of a self-adjoint operator, is considered in the framework of the so-called duality method. The multiplication is defined by identifying each distribution with a multiplication operator acting on the natural rigged Hilbert space. Certain spaces, that are an

AlgebraDistribution (number theory)Multiplication operatorHermitian adjointGeneral MathematicsOperator (physics)Rigged Hilbert spaceUnitary operatorCommutative propertySelf-adjoint operatorMathematicsPublications of the Research Institute for Mathematical Sciences
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Dynamics of differentiation and integration operators on weighted spaces of entire functions

2014

AlgebraGeneral MathematicsEntire functionDynamics (mechanics)ChaoticFinite-rank operatorOperator theoryTopologyOperator normMathematicsStudia Mathematica
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Certain positive linear operators with better approximation properties

2018

AlgebraGeneral MathematicsLinear operatorsGeneral EngineeringMathematicsMathematical Methods in the Applied Sciences
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The essential spectrum of AM-compact operators

1991

AlgebraMathematics(all)General MathematicsEssential spectrumCompact operatorMathematicsIndagationes Mathematicae
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A? * algebra of pseudodifferential operators on noncompact manifolds

1988

On montre qu'une classe d'operateurs pseudodifferentiels d'ordre zero a la propriete d'invariance spectrale

AlgebraMathematics::General MathematicsPseudodifferential operatorsGeneral MathematicsMathematics::History and OverviewAlgebra over a fieldMathematicsArchiv der Mathematik
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Spectral invariance for algebras of pseudodifferential operators on besov-triebel-lizorkin spaces

1993

The algebra of pseudodifferential operators with symbols inS1,δ0, δ<1, is shown to be a spectrally invariant subalgebra of ℒ(bp,qs) and ℒ(Fp,qs).

AlgebraNumber theoryPseudodifferential operatorsGeneral MathematicsSubalgebraAlgebraic geometryInvariant (physics)Algebra over a fieldMathematicsManuscripta Mathematica
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Invariance spectrale des algèbres d'opérateurs pseudodifférentiels

2002

We construct and study several algebras of pseudodifferential operators that are closed under holomorphic functional calculus. This leads to a better understanding of the structure of inverses of elliptic pseudodifferential operators on certain non-compact manifolds. It also leads to decay properties for the solutions of these operators. To cite this article: R. Lauter et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 1095–1099.

AlgebraOperator algebraBanach algebraFredholm operatorHolomorphic functional calculusHolomorphic functionGeneral MedicineOperator theoryFréchet algebraDifferential operatorMathematicsComptes Rendus Mathematique
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Weakly algebraizable logics

2000

AbstractIn the paper we study the class of weakly algebraizable logics, characterized by the monotonicity and injectivity of the Leibniz operator on the theories of the logic. This class forms a new level in the non-linear hierarchy of protoalgebraic logics.

AlgebraPhilosophyClass (set theory)HierarchyLogicLeibniz operatorMonotonic functionT-norm fuzzy logicsMathematicsJournal of Symbolic Logic
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