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A class of spaces lacking normal structure. (English) Zbl 0244.46012


MSC:

46B03 Isomorphic theory (including renorming) of Banach spaces
46A45 Sequence spaces (including Köthe sequence spaces)
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References:

[1] L.P. Belluce , W.A. Kirk And E.F. Steiner [1] Normal structure in Banach spaces , Pacific J. Math. 26 (1968), 433-440. · Zbl 0164.15001 · doi:10.2140/pjm.1968.26.433
[2] M.S. Brodskii And D.P. Mil’Man [2] On the center of a convex set , Dokl. Akad. Nauk. SSSR N.S. 59 (1948), 837-840. · Zbl 0030.39603
[3] J.A. Clarkson [3] Uniformly convex spaces , Trans. Amer. Math. Soc. 40 (1936), 396-414.
[4] M.M. Day [4] Uniform convexity in factor and conjugate spaces , Annals of Math. 45 (1944), 375-385. · Zbl 0063.01058 · doi:10.2307/1969275
[5] K. Goebel [5] Convexity of balls and fixed point theorems for mappings with nonexpansive square , Compositio Math. 22 (1970), 269-274. · Zbl 0202.12802
[6] J.P. Gossez And E. Lami Dozo [6] Structure normale et base de Schauder , Bull. de l’Acad. Royale de Belgique (5e Ser.) 55 (1969), 673-681. · Zbl 0192.46903
[7] R.C. James [7] Uniformly non-square Banach spaces , Annals of Math. 80 (1964), 542-550. · Zbl 0132.08902 · doi:10.2307/1970663
[8] V. Zizler [8] Some notes on various rotundity and smoothness properties of separable Banach spaces , Comment. Math. Univ. Carolinae 10 (1969), 195-206. · Zbl 0177.40702
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