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On large subspaces of the Schatten p-classes. (English) Zbl 0415.47014


MSC:

47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
46B20 Geometry and structure of normed linear spaces
46M05 Tensor products in functional analysis
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References:

[1] J. Arazy and J. Lindenstrauss : Some linear topological properties of the spaces Cp of operators on Hilbert space . Compositio Math. 30 (1975) 81-111. · Zbl 0302.47034
[2] J. Arazy and Y. Friedman : The isometries of Cn,mp into Cp , Israel J. Math. 26 (1977) 151-165. · Zbl 0345.47035 · doi:10.1007/BF03007665
[3] C.E. Clever : Interpolation and extension of Lipschitz-Hölder maps on Cp spaces . Colloquium Math. 27 (1973) 83-87. · Zbl 0248.47037
[4] Y. Friedman : Subspaces of LC(H) and CP . Proc. Amer. Math. Soc. 53 (1975) 117-122. · Zbl 0327.47008 · doi:10.2307/2040380
[5] I.C. Gohberg and M.G. Krein : Introduction to the theory of linear nonselfadjoint operators , Amer. Math. Soc. Translations, Vol. 18. · Zbl 0181.13503
[6] I.C. Gohberg and M.G. Krein : Theory and applications of Volterra operators on Hilbert spaces , Amer. Math. Soc. Translations, Vol. 24. · Zbl 0194.43804
[7] J. Lindenstruss and L. Tzafriri : Classical Banach Spaces I, Sequence Spaces , Springer-Verlag, 1977. · Zbl 0362.46013
[8] Ch.A. Mccarthy : Cp . Israel J. Math. 5 (1967) 249-271. · Zbl 0156.37902 · doi:10.1007/BF02771613
[9] E. Odell : On complemented subspaces of (\Sigma l2)lp . Israel J. Math. 23 (1976) 353-367. · Zbl 0333.46005 · doi:10.1007/BF02761814
[10] N. Tomczak-Jaegermann : The moduli of smoothness and convexity and Rademacher averages of trace classes Sp (1 \leq p < \infty ) . Studia Math. 50 (1974) 163-182. · Zbl 0282.46016
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