An isomorphic characterization of the Schmidt class.(English)Zbl 0321.46017

MSC:

 46B99 Normed linear spaces and Banach spaces; Banach lattices 46A45 Sequence spaces (including Köthe sequence spaces) 46C99 Inner product spaces and their generalizations, Hilbert spaces 47B10 Linear operators belonging to operator ideals (nuclear, $$p$$-summing, in the Schatten-von Neumann classes, etc.) 47L05 Linear spaces of operators
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References:

 [1] Y. Gordon : On p-absolutely summing constants of Banach spaces . Israeal J. Math. 7 (1969) 151-162. · Zbl 0179.17502 [2] Y. Gordon and D.R. Lewis : Absolutely summing operators and local unconditional structures . Acta Math. (to appear). · Zbl 0291.47017 [3] M.I. Kadec and A. Oelczynski : Bases, lacunary sequences and complemented subspaces in the space Lp . Studia Math. 21 (1962) 161-176. · Zbl 0102.32202 [4] D.R. Lewis : A relation between diagonal and unconditional basis constants (to appear · Zbl 0296.46017 [5] Ch. A. Mccarthy : Cp. Israel J. Math. 5 (1967) 249-271. · Zbl 0156.37902 [6] A. Pletsch : Theorie der operatorenideale . Jena, 1972. · Zbl 0238.46067 [7] R. Schatten : Norm ideals of completely continuous operators . Berlin -Göttingen-Heidelberg, 1960. · Zbl 0090.09402
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