A characterization of barrelledness of Cp(X)

Journal of Mathematical Analysis and Applications

Volumn 439, Issue 1, 2016, Pages 364-369

  Gabriyelyan, S ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Barrelled space; Cp(X); Locally quasi convex group topology; Mackey group

Indexed keywords

EID: 84960499519     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2016.02.060     Document Type: Article

References (15)

1. Banaszczyk W. Additive Subgroups of Topological Vector Spaces. LNM 1991, vol. 1466. Berlin-Heidelberg-New York.
2. b(T). C. R. Acad. Sci. Paris Sér. A-B 1972, 274:A1300-A1303.
3. s(T). J. Math. Pures Appl. 1973, 52:337-352.
4. Chasco M.J., Martín-Peinador E., Tarieladze V. On Mackey topology for groups. Studia Math. 1999, 132:257-284.
5. Díaz Nieto J.M., Martín Peinador E. Characteristics of the Mackey topology for abelian topological groups. Proc. Math. Stat. 2014, vol. 80:117-141. Springer, Cham.
6. Gabriyelyan S. Groups of quasi-invariance and the Pontryagin duality. Topology Appl. 2010, 157:2786-2802.
7. Gabriyelyan S. On topological properties of the group of the null sequences valued in an Abelian topological group available in. arxiv:1306.5117.
8. S. Gabriyelyan, On the Mackey topology for abelian topological groups and locally convex spaces, preprint.
9. Gabriyelyan S. On reflexive groups and function spaces with a Mackey group topology available in. arxiv:1601.03219.
10. Hewitt E., Ross K.A. Abstract Harmonic Analysis, vol. I 1979, Springer-Verlag, Berlin. 2nd ed.
11. Hewitt E., Zuckerman H. A group-theoretic method in approximation theory. Ann. Math. 1950, 52:557-567.
12. Jarchow H. Locally Convex Spaces 1981, B.G. Teubner, Stuttgart.
13. Narici L., Beckenstein E. Topological Vector Spaces 2011, CRC Press, New York. 2nd ed.
14. Remus D., Trigos-Arrieta F.J. Abelian groups which satisfy Pontryagin duality need not respect compactness. Proc. Amer. Math. Soc. 1993, 117:1195-1200.
15. Smith M.F. The Pontrjagin duality theorem in linear spaces. Ann. Math. 1952, 56:248-253.