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Wittstock, Gerd

Eine Bemerkung über Tensorprodukte von Banachverbänden. (German) Zbl 0311.46002

Arch. Math. 25, 627-634 (1974).
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Cited in 1 Review
Cited in 14 Documents

MSC:

46A40 Ordered topological linear spaces, vector lattices
46M05 Tensor products in functional analysis
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References:

[1] N.Bourbaki, Int?gration chap. I?IV, 1re ?dition. Paris 1952.
[2] J. Chaney, Banach lattices of compact maps. Math. Z.129, 1-19 (1972). · doi:10.1007/BF01229536
[3] E. B. Davies, The structure and ideal theory of the predual of a Banach lattice. Trans. Amer. Math. Soc.131, 544-555 (1968). · Zbl 0159.41503 · doi:10.1090/S0002-9947-1968-0222604-8
[4] J. Dieudonn?, Sur les fonctions continues num?riques d?finies dans un produit de deux espaces compacts. C. R. Acad. Sci. Paris205, 593-595 (1937). · JFM 63.0199.04
[5] D. H. Fremlin, Tensor products of archimedean vector lattices. Amer. J. Math.94, 777-798 (1972). · Zbl 0252.46094 · doi:10.2307/2373758
[6] D. H.Fremlin, Tensor products of Banach lattices. Math. Ann. (erscheint demn?chst). · Zbl 0272.46050
[7] A. Hulanicki andR. R. Phelps, Some applications of tensor products of partially ordered spaces. J. Functional Analysis2, 177-201 (1968). · Zbl 0159.41504 · doi:10.1016/0022-1236(68)90016-5
[8] V. L. Levin, Tensor products and functors in categories of Banach spaces defined byKB- lineals. Trans. Moscow Math. Soc.20, 41-77 (1969).
[9] A. L.Peressini, Ordered topological vector spaces. New York, Evanston and London 1967. · Zbl 0169.14801
[10] A. L. Peressini andD. R. Sherbert, Ordered topological tensor products. Proc. London Math. Soc.19, 177-190 (1969). · Zbl 0167.42201 · doi:10.1112/plms/s3-19.1.177
[11] N. Popa, Produits tensoriels ordonn?s. Rev. Roumaine Math. Pures Appl.13, 246-253 (1968).
[12] N. Popa, Sur deux th?or?mes de Grothendieck. Rev. Roumaine Math. Pures Appl.14, 837-844 (1969). · Zbl 0201.15301
[13] H. H.Schaefer, Topological vector spaces. Berlin-Heidelberg-New York 1971. · Zbl 0212.14001
[14] H. H. Schaefer, Normed tensor products of Banach lattices. Israel J. Math.13, 400-415 (1973). · Zbl 0252.46095 · doi:10.1007/BF02762813
[15] G. Wittstock, Choquet-Simplexe und nukleare R?ume. Invent. Math.15, 251-258 (1972). · Zbl 0228.46003 · doi:10.1007/BF01404129
[16] G. Wittstock, Ordered normed tensor products. In: Foundations of quantum mechanics and ordered linear spaces. Advanced Study Institute, Marburg 1973. Lect. Notes in Physics29, pp. 67-84, Berlin 1974.
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