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Not every Banach space contains an imbedding of \(l_p\) or \(c_0\). (English. Russian original) Zbl 0296.46018
Funct. Anal. Appl. 8, 138-141 (1974); translation from Funkts. Anal. Prilozh. 8, No. 2, 57-60 (1974).

MSC:
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
46B03 Isomorphic theory (including renorming) of Banach spaces
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References:
[1] J. Lindenstrauss, ”The geometric theory of the classical Banach spaces,” Actes du Congr?s Intern. Math., 1970, Paris, Vol. 2 (1971), pp. 365-372.
[2] N. Dunford and J. T. Schwartz, Linear Operators, Part I, Interscience, New York (1958).
[3] R. C. James, ”Bases and reflexivity of Banach spaces,” Ann. Math.,52, No. 3 (1950). · Zbl 0039.12202
[4] M. G. Krein, D. P. Mil’man, and M. A. Rutman, ”On a property of a basis in a Banach space,” Zapiski Khar’k. Matem. Ob-va,16, 106-110 (1940). · Zbl 0023.13105
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