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Unconditionality in tensor products. (English) Zbl 0397.46017


MSC:

46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
46M05 Tensor products in functional analysis
47L30 Abstract operator algebras on Hilbert spaces
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)

Citations:

Zbl 0291.47017
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Full Text: DOI

References:

[1] Y. Gordon and D. R. Lewis,Absolutely summing operators and local unconditional structures, Acta Math.133 (1974), 24–48. · Zbl 0291.47017
[2] Y. Gordon, D. R. Lewis and J. R. Retherford,Banach ideals of operators with applications, J. Functional Analysis14 (1973), 85–129. · Zbl 0272.47024
[3] V. I. Gurarii, M. E. Kadec and V. I. Macaev,On the distance between isomorphic L p-spaces of finite dimension, Mat. Sb.70 (112), 4 (1966), 481–489.
[4] U. Haagerup,Les meilleurs constantes de l’inégalité de Khintchine, C. R. Acad. Sci. Paris, Ser. A,286 (1978), 259–262. · Zbl 0377.46013
[5] J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces I, Springer-Verlag, 1977. · Zbl 0362.46013
[6] P. Saphar,Produits tensoriels d’espaces de Banach et classes d’applications, Studia Math.28 (1970), 71–100. · Zbl 0213.14201
[7] S. J. Szarek,On the best constants in the Khintchin-inequality, Studia Math.58 (1976), 197–208. · Zbl 0424.42014
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