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Characterization of $$c_0$$ and $$\ell_p$$ among Banach spaces with symmetric basis. (English) Zbl 0333.46009

##### MSC:
 46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces 46A45 Sequence spaces (including Köthe sequence spaces)
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##### References:
 [1] Z. Altshuler, P. G. Casazza and Bor Luh Lin,On symmetric basic sequences in Lorentz sequence spaces, Israel J. Math.15 (1973), 140–155. · Zbl 0264.46011 [2] P. G. Casazza and Bor Luh Lin,On symmetric basic sequences in Lorentz sequence spaces II, Israel J. Math.17 (1974), 191–217. · Zbl 0286.46019 [3] J. Lindenstrauss and L. Tzafriri,On the complemented subspaces problem, Israel J. Math.9 (1971), 263–269. · Zbl 0211.16301 [4] J. Lindenstrauss and L. Tzafriri,Classical Banach spaces, Springer-Verlag Lecture Notes, No. 338, 1973. · Zbl 0259.46011 [5] M. Zippin,On perfectly homogeneous bases in Banach spaces, Israel J. Math.4 (1966), 265–275. · Zbl 0148.11202
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