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The projection constant of finite-dimensional spaces whose unconditional basis constant is 1. (English) Zbl 0378.46014


MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
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[1] Gordon, Y., On the projection and Macphail constants of l_n^p spaces, Israel J. Math., 6, 295-302 (1968) · Zbl 0182.45202 · doi:10.1007/BF02760261
[2] Grünbaum, B., Projection constants, Trans. Amer. Math. Soc., 95, 451-465 (1960) · Zbl 0095.09002 · doi:10.2307/1993567
[3] Gurarii, V. I.; Kadec, M. I.; Macaev, V. I., On Banach-Mazur distance between certain Minkowski spaces, Bull. Acad. Polon. Sci., 13, 719-722 (1965) · Zbl 0151.17502
[4] Kadec, M. I.; Snobar, M. G., Certain functionals on the Minkowski compactum, Mat. Zametki, 10, 453-457 (1971) · Zbl 0229.46018
[5] Lindenstrauss, J.; Pełczyński, A., Absolutely summing operators in ℒ_p-spaces and their applications, Studia Math., 29, 275-326 (1968) · Zbl 0183.40501
[6] Rutovitz, D., Some parameters associated with finite-dimensional Banach spaces, J. London Math. Soc., 40, 241-255 (1965) · Zbl 0125.06402 · doi:10.1112/jlms/s1-40.1.241
[7] Szarek, S. J., On the best constants in the Khintchin-inequality, Studia Math., 58, 197-208 (1976) · Zbl 0424.42014
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