Tensor Products, Infinite Products, and Projective Limits of Choquet Simplexes.
E.B. Davies, G.F. Vincent-Smith (1968)
Mathematica Scandinavica
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E.B. Davies, G.F. Vincent-Smith (1968)
Mathematica Scandinavica
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Gusti van Zyl (2008)
Studia Mathematica
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We show that the Taylor (resp. Bochnak) complexification of the injective (projective) tensor product of any two real Banach spaces is isometrically isomorphic to the injective (projective) tensor product of the Taylor (Bochnak) complexifications of the two spaces.
Pedro Pérez Carreras, José Bonet (1984)
Mathematische Zeitschrift
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Mihăilescu, Viorel, Udrişte, Constantin (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Terry A. Loring (1993)
Mathematica Scandinavica
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Dirk Werner (1987)
Mathematica Scandinavica
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Stephen Power (1989)
Mathematica Scandinavica
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Seán Dineen, Pablo Sevilla-Peris (2002)
Studia Mathematica
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We consider, using various tensor norms, the completed tensor product of two unital lmc algebras one of which is commutative. Our main result shows that when the tensor product of two Q-algebras is an lmc algebra, then it is a Q-algebra if and only if pointwise invertibility implies invertibility (as in the Gelfand theory). This is always the case for Fréchet algebras.
A.K. Roy, T.S.S.R.K. Rao (1989)
Mathematica Scandinavica
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Fernando Bombal, Maite Fernández, Ignacio Villanueva (2001)
Studia Mathematica
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We obtain a classification of projective tensor products of C(K) spaces according to whether none, exactly one or more than one factor contains copies of ℓ₁, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces or the verification of certain Banach space properties of the corresponding tensor product. The main tool is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczyński's (V) properties of...
Fernando Blasco (2000)
Extracta Mathematicae
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The problem of finding complemented copies of l in another space is a classical problem in Functional Analysis and has been studied from different points of view in the literature. Here we pay attention to complementation of l in an n-fold tensor product of l spaces because we were lead to that result in the study of Grothendieck's Problème des topologies as we shall comment later.
W. A. Majewski (2012)
Banach Center Publications
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A characterization of the structure of positive maps is presented. This sheds some more light on the old open problem studied both in Quantum Information and Operator Algebras. Our arguments are based on the concept of exposed points, links between tensor products and mapping spaces and convex analysis.
Ron C. Blei (1977)
Colloquium Mathematicae
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Charles J.K. Batty (1976)
Mathematische Zeitschrift
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Díaz, J.C., López Molina, J.A. (1991)
Portugaliae mathematica
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Larry Smith (1970)
Mathematica Scandinavica
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