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A relation between diagonal and unconditonal basis constants. (English) Zbl 0296.46017


MSC:

46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
47L05 Linear spaces of operators
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References:

[1] Brunel, A., Sucheston, L.: On J-convexity and some ergodic super-properties of Banach spaces (to appear) · Zbl 0273.46013
[2] Figiel, T., Johnson, W. B., Tzafriri, L.: On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces (to appear) · Zbl 0307.46007
[3] Gordon, Y.: Asymmetry and projection constants of Banach spaces, Israel J. Math.14, 50-62 (1973) · Zbl 0253.46024
[4] Gordon, Y., Lewis, D. R.: Absolutely summing operators and local unconditional structures. Acta Math.133, 27-48 (1974) · Zbl 0291.47017
[5] Gordon, Y., Lewis, D.R.: Banach ideals on Hilbert spaces. Studia Math. (to appear) · Zbl 0316.47025
[6] Lindenstrass, J.: A remark on symmetric bases. Israel J. Math.13, 317-320 (1972) · Zbl 0252.46027
[7] Lindenstrass, J., Pelczynski, A.: Absolutely summing operators in ? p spaces and their applications. Studia Math.29, 275-326 (1968)
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