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Some estimates for type and cotype constants. (English) Zbl 0459.46011


MSC:

46B20 Geometry and structure of normed linear spaces
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
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References:

[1] Bergh, J., Löfström, J.: Interpolation spaces, an introduction. Berlin, Heidelberg, New York: Springer 1976 · Zbl 0344.46071
[2] Figiel, T., Lindenstrauss, J., Milman, V.D.: The dimension of almost spherical sections of convex bodies. Acta Math.139, 53-94 (1977) · Zbl 0375.52002
[3] Garling, D.J.H., Gordon, Y.: Relations between some constants associated with finite dimensional Banach spaces. Israel J. Math.9, 346-361 (1971) · Zbl 0212.14203
[4] Haagerup, U.: Les meilleures constantes de l’inegalite de Khintchine. C.R. Acad. Sci. Paris286 259-262 (1978) · Zbl 0377.46013
[5] König, H.: Type constants and (q, 2)-summing norms defined byn vectors. Israel J. Math.37, 130-138 (1980) · Zbl 0449.47037
[6] König, H., Retherford, J.R., Tomczak-Jaegermann, N.: Eigenvalues of (p, 2)-summing operators and constants associated with normed spaces. J. Funct. Anal.37, 88-126 (1980) · Zbl 0434.47033
[7] Lindenstrauss, J., Tzafriri, L.: Classical Banach spaces. II. Function spaces. Ergebnisse der Mathematik, Vol. 92. Berlin, Heidelberg, New York: Springer 1979 · Zbl 0403.46022
[8] Maurey, B.: Une nouvelle caracterisation des applications (p, q)-sommantes. Seminaire Maurey-Schwartz 1973-74, Expose XII
[9] Maurey, B., Pisier, G.: Series de variables aleatoires vectoriolles independantes et proprietes geometriques des espaces de Banach. Studia Math.58, 45-90 (1976) · Zbl 0344.47014
[10] Pisier, G.: Types des espaces normes. C. R. Acad. Sci. Paris276, 1673-1674 (1973)
[11] Tomczak-Jaegermann, N.: Computing 2-summing norm with few vectors. Ark. Math.17, 273-277 (1979) · Zbl 0436.47033
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