On the "three-space" problem for locally quasi-convex topological groups

Archiv der Mathematik

Volumn 74, Issue 4, 2000, Pages 253-262

  Castillo, Jesús M F ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034385688     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000130050439     Document Type: Article

References (14)

1. W. BANASZCZYK, Additive subgroups of topological vector spaces. LNM 1466, Berlin-Heidelberg-New York 1991.
2. M. M. BRUGUERA, Some properties of locally quasi-convex groups. Topology Appl. 77, 87-94 (1997).
3. M. M. BRUGUERA and E. MARTIN-PEINADOR, Open subgroups, compact subgroups and Binz-Butzmann reflexivity. Topology Appl. 72, 101-111 (1996).
4. F. CABELLO SÁNCHEZ and J. M. F. CASTILLO, Uniform boundedness and twisted sums if Banach spaces. Preprint 39, Depto. de Matemáticas de la Uex (1997).
5. F. CABELLO SÁNCHEZ and J. M. F. CASTILLO, The long homology sequence for quasi-Banach spaces, with applications. To appear in Israel J. Math.
6. J. M. F. CASTILLO, Snarked sums of Banach spaces. Extr. Math. 12, 117-128 (1997).
7. J. M. F. CASTILLO and M. GONZÁLEZ, Three-space problems in banach space theory. LNM 1667, Berlin-Heidelberg-New York 1997.
8. S. DIEROLF, Über Vererbbarkeitseigenschaften in topologischen Vektorräumen. Dissertation, Ludwig Maximilian Universität München, 1973.
9. S. DIEROLF and U. SCHWANENGEL, Examples of locally compact non-compact minimal topological groups. Pacific J. Math. 82, 349-355 (1979).
10. E. HEWITT and K. ROSS, Abstract Harmonic Analysis I. Grundlehren Math. Wiss. 115, Berlin-New York 1994.
11. E. HILTON and K. STAMMBACH, A course in homological algebra. Graduate Texts in Math. 4, New York-Berlin 1997.
12. N. KALTON, The three-space problem for locally bouned F-spaccs. Compositio Math. 37, 243-276 (1978).
13. N. KALTON, N. T. PECK and W. ROBERTS, An F-spacc sampler. London Math. Soc. Lecture Note Ser. 89, Cambridge-New York 1984.
14. T. RIBE, Examples for the nonlocally convex three-space problem. Proc. Amer. Math. Soc. 237, 351-355 (1979).