Intersection properties of balls in tensor products of some Banach spaces.
A.K. Roy, T.S.S.R.K. Rao (1989)
Mathematica Scandinavica
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A.K. Roy, T.S.S.R.K. Rao (1989)
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E.B. Davies, G.F. Vincent-Smith (1968)
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Ron C. Blei (1977)
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N.J. Nielsen, S. Heinrich (1981)
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Jun Tomiyama (1972)
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Johan Swart, Jan H. Fourie (1981)
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Richard H. Herman (1975)
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Fernando Blasco (2000)
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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.
Jörg Eschmeier (1988)
Journal für die reine und angewandte Mathematik
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Khudalov, V.T. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Allan M. Sinclair, Sten Kaijser (1984)
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Stephen Power (1989)
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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.