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A Banach space with a symmetric basis which contains no \(\ell_p\) or \(C_0\), and all its symmetric basic sequences are equivalent. (English) Zbl 0381.46008

MSC:
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
46B20 Geometry and structure of normed linear spaces
46A35 Summability and bases in topological vector spaces
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References:
[1] Z. Altshuler : Characterization of c0 and lp among Banach spaces with symmetric basis . Israel J. of Math. 24(1) (1976) 39-44. · Zbl 0333.46009
[2] T. Figiel and W.B. Johnson : A uniformly convex Banach space which contains no lp . Compositio Math. 29(2) (1974) 179-190. · Zbl 0301.46013
[3] W.J. Leveque : Topics in number theory I . Addison-Wesley Publishing Company. · Zbl 0070.03803
[4] B.S. Tsirelson : Not every Banach space contains an imbedding of c0 or lp . Functional analysis and its application 8 (1974) 138-141. · Zbl 0296.46018
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