Duality theory for convergence groups

Topology and its Applications

Volumn 111, Issue 1-2, 2001, Pages 95-104

  Butzmann, H P ^a  

^a UNIVERSITY OF MANNHEIM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 15944380829     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(99)00188-1     Document Type: Article

References (13)

1. W. Banaszczyk, Additive Subgroups of Topological Vector Spaces, Lecture Notes in Math., Vol. 1466, Springer, Berlin, 1991.
2. R. Beattie, H.-P. Butzmann, M. Schroder, Choquet spaces and groups, Math. Nachr. 144 (1989) 223-232.
3. E. Binz, Continuous Convergence on C(X), Lecture Notes in Math., Vol. 469, Springer, Berlin, 1975.
4. M. Bruguera, M.J. Chasco, Strong reflexivity of Abelian groups, Preprint.
5. M. Bruguera, L. Martin-Peinador, Open subgroups, compact subgroups and Binz-Butzmann reflexivity, Topology Appl. 72 (1996) 101-111.
6. c(X), Ph.D. Thesis, Mannheim, 1971.
7. c(X), Comment. Math. Helv. 47 (1972) 92-101.
8. H.-P. Butzmann, Pontrjagin-Dualität für topologische Vektorräume, Arch. Math. 28 (1977) 632-637.
9. H.-P. Butzmann, Pontryagin duality for convergence groups of unimodular continuous functions, Czechoslovak Math. J. 33 (1983) 212-220.
10. M.J. Chasco, Pontryagin duality for metrizable groups, Arch. Math. 70 (1) (1998) 22-28.
11. M.J. Chasco, L. Martin-Peinador, Binz-Butzmann duality versus Pontryagin duality, Arch. Math. 63 (3) (1994) 264-270.
12. C.H. Cook, H.R. Fischer, On equicontinuity and continuous convergence, Math. Ann. 159 (1977) 94-104.
13. H. Poppe, Compactness in General Function Spaces, VEB Deutscher Verlag der Wissenschaften, Berlin, 1974.