Resolutions of the identity in certain Banach spaces.
Manuel Valdivia (1988)
Collectanea Mathematica
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Manuel Valdivia (1988)
Collectanea Mathematica
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Lucas Jódar (1986)
Stochastica
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In this paper we study the resolution problem of an integral equation with operator valued kernel. We prove the equivalence between this equation and certain time varying linear operator system. Sufficient conditions for solving the problem and explicit expressions of the solutions are given.
Didier Dubois, Henri Prade (1984)
Stochastica
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Several transformation which enable implication functions in multivalued logics to be generated from conjunctions have been proposed in the literature. It is proved that for a rather general class of conjunctions modeled by triangular norms, the generation process is closed, thus shedding some light on the relationships between seemingly independent classes of implication functions.
Jorge Morales (1991)
Acta Arithmetica
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Palaniappan Kannappan (1983)
Stochastica
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The Shannon entropy has the sum form ∑f(p) with f(x) = -x logx (x belonging to [0,1]). This together with the property of additivity leads to the 'sum' functional equation...
K. Alniaçik (1990)
Acta Arithmetica
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J. P. Lampreia, A. Rica da Silva, J. Sousa Ramos (1985)
Stochastica
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We elaborate a method allowing the determination of 0-1 matrices corresponding to dynamics of the interval having stable, 2-periodic orbits, k belonging to N. By recurrence on the finite dimensional matrices, we establish the form of the infinite matrices (k --> ∞).
Robert Anderson (1991)
Acta Arithmetica
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Ajai Choudhry (1991)
Acta Arithmetica
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