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Conditional weak compactness in certain inductive tensor products. (English) Zbl 0234.46069


MSC:

46M05 Tensor products in functional analysis
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References:

[1] Amir, D., Lindenstrauss, J.: The structure of weakly compact sets in Banach spaces. Ann. of Math.88, 35-46 (1968). · Zbl 0164.14903 · doi:10.2307/1970554
[2] Bartle, R.G., Dunford, N., Schwartz, J.: Weak compactness and vector measures. Canadian J. Math.7, 289-305 (1955). · Zbl 0068.09301 · doi:10.4153/CJM-1955-032-1
[3] Bogdanowicz, W.M.: Representations of linear functionals on the spaceC (X, Y) of continuous functions from compactX into locally convexY. Proc. Japan Acad.42, 1122-1127 (1967). · Zbl 0154.39501 · doi:10.3792/pja/1195521758
[4] Dunford, N., Schwartz, J.: Linear Operators. Part I. General Theory. 1st edition, New York: Interscience 1958. · Zbl 0084.10402
[5] Gil de Lamadrid, J.: Measures and Tensors II. Canadian J. Math.18, 762-793 (1966). · Zbl 0217.44703 · doi:10.4153/CJM-1966-077-3
[6] Grothendieck, A.: Sur les applications lineaires faiblement compactes d’espaces du type C (K). Canadian J. Math.5, 129-173 (1953). · Zbl 0050.10902 · doi:10.4153/CJM-1953-017-4
[7] Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires. Mem. Amer. Math. Soc.16, 1-80 (1955).
[8] Holub, J.: Hilbertian operators and reflexive tensor products. Pacific J. Math.36, 185-194 (1971). · Zbl 0212.15601
[9] Pettis, B. J.: On integration in vector spaces. Trans. Amer. Math. Soc.44, 277-304 (1938). · Zbl 0019.41603 · doi:10.1090/S0002-9947-1938-1501970-8
[10] Rosenthal, H. P.: On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators formL p (?) toL r (v). J. Functional Analysis4, 176-214 (1969). · Zbl 0185.20303 · doi:10.1016/0022-1236(69)90011-1
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