Literature Cited
A. Grothendieck, “Sur les applications lineaires faiblement compactes d'espaces du type C(K),” Can. J. Math.,5, 129–173 (1953).
V. Sh. Khasanov, “On certain properties of Banach spaces connected with complementability,” Author's Abstract of Candidate's Dissertation, Novosibirsk (1982).
E. V. Tokarev, “On quotient spaces of Banach lattices and on Marcinkiewicz spaces,” Sib. Mat. Zh.,25, No. 2, 205–213 (1984).
A. V. Bukhvalov, A. I. Veksler, and G. Ya. Lozanovskii, “Banach lattices—some Banach aspects of the theory,” Usp. Mat. Nauk,34, No. 2 (206), 137–183 (1979).
A. Pietsch, Operator Ideals, North-Holland, Amsterdam (1980).
Yu. A. Abramovich and G. Ya. Lozanovskii, “On certain numerical characteristics of KN-lineals,” Mat. Zametki,14, No. 5, 723–732 (1973).
H. P. Rosenthal, “A characterization of Banach spaces containingl 1,” Proc. Nat. Acad. Sci. USA,71, No. 6, 2411–2413 (1974).
S. Karlin, “Bases in Banach spaces,” Duke Math. J.,15, 971–985 (1948).
J. Diestel, Geometry of Banach Spaces—Selected Topics, Lecture Notes in Math., No. 485, Springer-Verlag, Berlin (1975).
R. Haydon, “Nonseparable Banach spaces,” in: Functional Analysis: Surveys and Recent Results, II (Proc. Second Conf. Functional Anal., Univ. Paderborn, Paderborn, 1979), North-Holland Math. Studies, 38, North-Holland, Amsterdam (1980), pp. 19–30.
J. Lindenstrauss, “On subspaces of Banach spaces without quasicomplements,” Israel J. Math.,6, 36–38 (1968).
M. M. Day, “Strict convexity and smoothness of normed spaces,” Trans. Am. Math. Soc.,78, No. 2, 516–528 (1955).
J. R. Partington, “Subspaces of certain Banach sequence spaces,” Bull. London Math. Soc.,13, 162–166 (1981).
J. Bourgain, “l ∞/c0 has no equivalent strictly convex norm,” Proc. Am. Math. Soc.,78, No. 2, 225–226 (1980).
E. V. Tokarev, “On Banach lattices that are not isomorphic to strictly convex ones,” Manuscript deposited at VINITI, No. 6069-83 Dep., Moscow (1984).
Additional information
Kharkov. Translated from Sibirskii Matematichenskii Zhurnal, Vol. 27, No. 2, pp. 186–192, March–April, 1986.
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Tokarev, E.V. Grothendieck Banach lattices. Sib Math J 27, 293–298 (1986). https://doi.org/10.1007/BF00969399
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DOI: https://doi.org/10.1007/BF00969399