×

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
PDF BibTeX XML Cite
Full Text: Numdam EuDML

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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.