A framework to study commutation problems
Alfons Van Daele (1978)
Bulletin de la Société Mathématique de France
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Alfons Van Daele (1978)
Bulletin de la Société Mathématique de France
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M. Takesaki (1969)
Bulletin de la Société Mathématique de France
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Claire Anantharaman-Delaroche (1990)
Compositio Mathematica
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F. Bagarello, C. Trapani (1994)
Annales de l'I.H.P. Physique théorique
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Bagarello, F., Inoue, A., Trapani, C. (2005)
International Journal of Mathematics and Mathematical Sciences
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Inoue, Atsushi, Ogi, Hidekazu, Takakura, Mayumi (2007)
International Journal of Mathematics and Mathematical Sciences
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Reyes, Edgar N. (1997)
Journal of Lie Theory
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Sergio Celani, Leonardo Cabrer, Daniela Montangie (2009)
Open Mathematics
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In this paper we introduce a special kind of ordered topological spaces, called Hilbert spaces. We prove that the category of Hilbert algebras with semi-homomorphisms is dually equivalent to the category of Hilbert spaces with certain relations. We restrict this result to give a duality for the category of Hilbert algebras with homomorphisms. We apply these results to prove that the lattice of the deductive systems of a Hilbert algebra and the lattice of open subsets of its dual Hilbert...
Wright, Steve (1983)
International Journal of Mathematics and Mathematical Sciences
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