On the Lindenstrauss-Rosenthal theorem

Israel Journal of Mathematics

Volumn 140, Issue , 2004, Pages 253-270

  Castillo, Jesús M F ^a   Moreno, Yolanda ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442688031     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02786635     Document Type: Article

References (34)

1. Y. Benyamini and J. Lindenstrauss, Geometric Nonlinear Functional Analysis, Vol. 1, American Mathematical Society, Providence, 1999.
2. ∞- spaces and related Banach spaces, Boletim da Sociedade Brasileira de Matemática 14 (1983), 109-123.
3. F. Cabello Sánchez and J. M. F. Castillo, Duality and twisted sums of Banach spaces, Journal of Functional Analysis 175 (2000), 1-16.
4. F. Cabello Sánchez and J. M. F. Castillo, Uniform boundedness and twisted sums of Banach spaces, Houston Journal of Mathematics, to appear.
5. F. Cabello Sánchez and J. M. F. Castillo, The long homology sequence in quasi-Banach spaces, with applications, Positivity, to appear.
6. F. Cabello Sánchez, J. M. F. Castillo, N. Kalton and D. Yost, Twisted sums with C(K) spaces, Transactions of the American Mathematical Society, to appear.
7. J. M. F. Castillo and M. Gonzalez, Three-space problems in Banach space theory, Lecture Notes in Mathematics 1667, Springer-Verlag, Berlin, 1997.
8. J. M. F. Castillo and M. Gonzalez, New results on the Dunford-Pettis property, Bulletin of the London Mathematical Societry 27 (1995), 599-605.
9. J. M. F. Castillo and Y. Moreno, On isomorphically equivalent extensions of quasi-Banach spaces, in Recent Progress in Functional Analysis (K. D. Bierstedt, J. Bonet, M. Maestre and J. Schmets, eds.), North-Holland Mathematics Studies 187, North-Holland, Amsterdam, 2000, pp. 263-272.
10. J. Diestel, A survey of results related to the Dunford-Pettis property, Contemporary Mathematics 2 (1980), 15-60.
11. J. Diestel, Sequences and Series in Banach Spaces, Graduate Texts in Mathematics 92, Springer-Verlag, Berlin, 1992.
12. I. S. Edelstein and P. Wojtasczyk, On projections and unconditional bases in direct sums of Banach spaces, Studia Mathematica 56 (1976), 263-276.
13. E. Hilton and K. Stammbach, A Course in Homological Algebra, Graduate Texts in Mathematics 4, Springer-Verlag, Berlin, 1970.
14. 1 into C(K) spaces, Studia Mathematica 117 (1995), 43-55.
15. N. J. Kalton, The three-space problem for locally bounded F-spaces, Compositio Mathematica 37 (1978), 243-276.
16. p for p < 1, Mathematische Nachrichten 115 (1984), 71-97.
17. 0 and extension of operators into C(K)-spaces, Quarterly Journal of Mathematics. Oxford 52 (2001), 313-328.
18. N. J. Kalton and N. T. Peck, Twisted sums of sequence spaces and the three-space problem, Transactions of the American Mathematical Society 255 (1979), 1-30.
19. p(0,1) for 0 ≤ p < 1, Studia Mathematica 64 (1979), 65-75.
20. 1-spaces with an application to Sidon sets, Mathematische Annalen 309 (1997), 135-158.
21. S. V. Kislyakov, Spaces with "small" annihilators, Journal of Soviet Mathematics 16 (1981), 1181-1184.
22. 1, Bulletin of the Polish Academy of Sciences 12 (1964), 539-542.
23. 1-spaces, Israel Journal of Mathematics 8 (1970), 80-82.
24. J. Lindenstrauss and A. Pelczynski, Contributions to the theory of the classical Banach spaces, Journal of Functional Analysis 8 (1971), 225-249.
25. 1 and m, Israel Journal of Mathematics 9 (1969), 227-239.
26. p-spaces, Israel Journal of Mathematics 7 (1969), 325-349.
27. J. Lindenstrauss and L. Tzafriri. Classical Banach Spaces I, Sequence Spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete 92, Springer-Verlag, Berlin, 1977.
28. S. MacLane, Homology, Grundlehren der mathematischen Wissenschaften 114, Springer-Verlag, Berlin, 1975.
29. Y. Moreno Salguero, Theory of z-linear maps, Ph.D. Doctoral Dissertation, University of Extremadura, 2003.
30. A. Pelczynski, Banach spaces on which every unconditionally converging operator is weakly compact, Bulletin of the Polish Academy of Sciences 10 (1962), 641-648.
31. A. Pelczynski, On C(S)-subspaces of separable spaces, Studia Mathematica 31 (1968), 513-522.
32. H. P. Rosenthal, On relatively disjoint families of measures, with some applications to Banach space theory, Studia Mathematica 37 (1970), 13-36.
33. H. P. Rosenthal, On factors of C[0, 1] with non-separable dual, Israel Journal of Mathematics 13 (1972), 361-378.
34. 1(μ)-spaces, Transactions of the American Mathematical Society 176 (1973), 463-477.