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On the problem of non-smoothness of non-reflexive second conjugate spaces. (English) Zbl 0299.46017

MSC:

46B10 Duality and reflexivity in normed linear and Banach spaces
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[1] DOI: 10.1215/S0012-7094-48-01595-6 · Zbl 0031.36301 · doi:10.1215/S0012-7094-48-01595-6
[2] Day, Normed linear spaces (1973) · doi:10.1007/978-3-662-09000-8
[3] DOI: 10.2307/1993079 · Zbl 0068.09101 · doi:10.2307/1993079
[4] Bishop, Convexity pp 27– (1963) · doi:10.1090/pspum/007/0154092
[5] Tacon, Bull. Austral. Math. Soc. 2 pp 415– (1970)
[6] Giles, Canad. Math. Bull. 17 pp 117– (1974) · Zbl 0288.46011 · doi:10.4153/CMB-1974-022-0
[7] Pełczyński, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 12 pp 543– (1964)
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[11] DOI: 10.1073/pnas.37.3.174 · Zbl 0042.36102 · doi:10.1073/pnas.37.3.174
[12] Singer, Bases in Banach spaces I (1970) · Zbl 0198.16601 · doi:10.1007/978-3-642-51633-7
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