On isomorphically equivalent extensions of quasi-Banach spaces

North-Holland Mathematics Studies

Volumn 189, Issue C, 2001, Pages 263-272

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

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

2000 Primary 46M15; 46M18; Secondary 46A16

Indexed keywords

EID: 2442635928     PISSN: 03040208     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0304-0208(01)80051-7     Document Type: Chapter

References (22)

1. F. Cabello Sánchez and J.M.F. Castillo, The long homology sequence for quasi-Banach spaces, with applications, submitted to Positivity.
2. F. Cabello Sánchez and .J.M.F. Castillo, Natural equivalences for the functor Ext. I: The locally bounded case, submitted to Applied Categorical Structures.
3. F. Cabello Sánchez, J.M.F. Castillo, N. Kalton and D. Yost, Twisted sums of classical function spaces, in preparation.
4. Castillo J.M.F., and González M. Three-space problems in banach space theory. Lecture Notes in Mathematics 1667 (1997), Springer-Verlag
5. J.M.F. Castillo and Y. Moreno, Strictly singular quasi-linear maps, Nonlinear Analysis- TMA (to appear).
6. Enflo P., Lindenstrauss J., and Pisier G. On the "three-space" problem for Hilbert spaces. Mathematics Scandinavica 36 (1975) 199-210
7. Fuchs L. Infinite abelian groups vols. I (1970), Academic Press, New York
8. Fuchs L. Infinite abelian groups vols. II (1973), Academic Press, New York
9. E. Hilton and K. Stammbach, A course in homological algebra, Graduate Texts in Mathe- matics 4. Springer-Verlag.
10. Kalton N. The three-space problem for locally bounded F-spa.ces. Compositio Mathematics 37 (1978) 243-276
11. Kalton N. Convexity, type and the three-space problem. Studia Mathematics 69 (1981) 247-287
12. Kalton N. Locally complemented subspaces and Cp for p 1. Mathematische Nachrichten 115 (1984) 71-97
13. Kalton N. The basic sequence problem. Studia Mathematics 116 (1995) 167-187
14. Kalton N., and Peck N.T. Twisted sums of sequence spaces and thee three-space problem. Transactions of the American Mathematical Society 255 (1979) 1-30
15. p (01) for 0 >p >1. Studia Mathematics 64 (1979) 65-75
16. N. Kalton, N.T. Peck, W. Roberts, An F-space sampler, London Mathematical Society Lecture Note Series 89.
17. Lindenstrauss J., and Tzafriri L. Classical Banach spaces I, sequence spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete 92 (1977), Springer
18. Mac Lane S. Homology. Grundlehren der mathematischen Wissenschaften 114 (1975), Springer- Verlag
19. Pat Goeters H. When do two groups always have isomorphic extension groups?. Rocky Mountain Journal of Mathematics 20 (1990) 129-144
20. Ribe T. Examples for the nonlocally convex three-space problem. Proceedings of the Amer-ican Mathematical Society 237 (1979) 351-355
21. Roberts J.W. A nonlocally convex F-space with the Hahn-Banach extension property, in Banach spaces of Analytic functions. Springer Lecture Notes in Mathematics 604 (1977) 76-81
22. Rosenthal H.P. On totally incomparable Banach spaces. Journal of Functional Analysis 4 (1969) 167-175