The Maurey extension property for Banach spaces with the Gordon-Lewis property and related structures

Studia Mathematica

Volumn 155, Issue 1, 2003, Pages 1-21

  Casazza, P G ^a   Nielsen, N J ^b  

^a UNIVERSITY OF MISSOURI   (United States)

^b UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038713219     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm155-1-1     Document Type: Article

References (21)

1. J. Bourgain, A counterexample to a complementation problem, Compositio Math. 43 (1981), 133-144.
2. P. G. Casazza and N. J. Nielsen, A Gaussian average property of Banach spaces, Illinois J. Math. 41 (1997), 559-576.
3. _, _, Embeddings of Banach spaces into Banach lattices and the Gordon-Lewis property, Positivity 5 (2001), 297-321.
4. J. Diestel, H. Jarchow and A. Tonge, Absolutely Summing Operators, Cambridge Stud. Adv. Math. 43, Cambridge Univ. Press, 1995.
5. Y. Gordon, M. Junge and N. J. Nielsen, The relations between volume ratio's and new concepts of GL-constants, Positivity 1 (1997), 359-379.
6. Y. Gordon and D. R. Lewis, Absolutely summing operators and local unconditional structure, Acta Math. 133 (1974), 27-48.
7. N. J. Kalton and P. Wojtaszczyk, On nonatomic Banach lattices and Hardy spaces, Proc. Amer. Math. Soc. 120 (1994), 731-741.
8. p-spaces, Bull. Soc. Math. France 31-32 (1972), 215-225.
9. _, On a theorem of L. Schwartz, Studia Math. 38 (1970), 193-201.
10. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I. Sequence Spaces, Ergeb. Math. Grenzgeb. 92, Springer, Berlin, 1977.
11. _, _, Classical Banach Spaces II. Function Spaces, Ergeb. Math. Grenzgeb. 97, Springer, Berlin, 1979.
12. B. Maurey, Un théorème de prolongement, C. R. Acad. Sci. Paris Sér. A 279 (1974), 329-332.
13. B. Maurey et G. Pisier, Séries de variables aléatoires véctorielles indépendantes et propriétés géométriques des espaces de Banach, Studia Math. 58 (1976), 45-90.
14. V. D. Milman and G. Pisier, Banach spaces with a weak cotype 2 property, Israel J. Math. 54 (1986), 139-158.
15. N. J. Nielsen, On Banach ideals determined by Danach lattices and their applications, Dissertationes Math. 109 (1973).
16. _, A note on unconditional structures in weak Hubert spaces, Illinois J. Math. 38 (1994), 390-393.
17. N. J. Nielsen and N. Tomczak-Jaegermann, Banach lattices with property (H) and weak Hilbert spaces, ibid. 36 (1992), 345-371.
18. G. Pisier, Factorization of Linear Operators and the Geometry of Banach Spaces, CBMS Regional Conf. Ser. in Math. 60, Amer. Math. Soc., 1986.
19. G. Pisier, The Volume of Convex Bodies and Banach Space Geometry, Cambridge Tracts in Math. 94, Cambridge Univ. Press, 1989.
20. p (p > 2) spanned by sequences of independent random variables, Israel J. Math. 8 (1970), 273-303.
21. N. Tomczak-Jaegermann, Banach-Mazur Distances and Finite-Dimensional Operator Ideals, Pitman Monographs Surveys Pure Appl. Math. 38, Longman Sci. and Tech., 1989.