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On primary Banach spaces. (English) Zbl 0321.46015


MSC:

46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
Full Text: DOI

References:

[1] Dale Alspach, P. Enflo and E. Odell, On the structure of separable Lp spaces, 1 < p < \infty (to appear). · Zbl 0343.46017
[2] Dale Alspach and Y. Benjamini, On the primariness of C(K) where K is a countable compact metric space (in preparation).
[3] P. G. Casazza and Bor Luh Lin, Projections on Banach spaces with symmetric bases, Studia Math. 52 (1974), 189 – 193. · Zbl 0266.46016
[4] B. S. Mitjagin, The homotopy structure of a linear group of a Banach space, Uspehi Mat. Nauk 25 (1970), no. 5(155), 63 – 106 (Russian). I. Edelstein, B. Mitjagin, and E. Semenov, The linear groups of \? and \?\(_{1}\) are contractible, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 18 (1970), 27 – 33 (English, with Loose Russian summary). I. Edelstein, B. Mitjagin, and E. Semenov, Letter to the editors: ”The Linear groups of \? and \?\(_{1}\) are contractible” (Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 18 (1970), 27-33), Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 18 (1970), 213. B. S. Mitjagin and I. S. Èdel\(^{\prime}\)šteĭn, The homotopy type of linear groups of two classes of Banach spaces, Funkcional. Anal. i Priložen. 4 (1970), no. 3, 61 – 72 (Russian).
[5] Joram Lindenstrauss, On complemented subspaces of \?, Israel J. Math. 5 (1967), 153 – 156. · Zbl 0153.44202 · doi:10.1007/BF02771101
[6] Joram Lindenstrauss, Decomposition of Banach spaces, Proceedings of an International Symposium on Operator Theory (Indiana Univ., Bloomington, Ind., 1970), 1971, pp. 917 – 919. · Zbl 0235.46038 · doi:10.1512/iumj.1971.20.20079
[7] J. Lindenstrauss and A. Pełczyński, Contributions to the theory of the classical Banach spaces, J. Functional Analysis 8 (1971), 225 – 249. · Zbl 0224.46041
[8] A. Pełczyński, Projections in certain Banach spaces, Studia Math. 19 (1960), 209 – 228. · Zbl 0104.08503
[9] F. D. Ramsey, On a problem of formal logic, Proc. London Math. Soc. 30 (1929), 338-384. · JFM 52.0046.01
[10] Ivan Singer, Bases in Banach spaces. I, Springer-Verlag, New York-Berlin, 1970. Die Grundlehren der mathematischen Wissenschaften, Band 154. · Zbl 0198.16601
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