Stereotype locally convex spaces

Izvestiya Mathematics

Volumn 64, Issue 4, 2000, Pages 653-694

  Akbarov, S S ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 12744274415     PISSN: 10645632     EISSN: 14684810     Source Type: Journal    
DOI: 10.1070/IM2000v064n04ABEH000294     Document Type: Article

References (15)

1. L. S. Pontrjagin, The theory of topological commutative groups, Ann. of Math. 35 (1934), 3G1-388.
2. E. R. van Kämpen, Locally bicompact Abelian groups and their character groups, Ann. of Math. 36 (1935), 448-456.
3. R. Venkataraman, Characterization of Pontryagin duality, Math. Z. 149:2 (1976), 109-119.
4. M. F. Smith, The Pontrjagin duality theorem in linear spaces, Ann. of Math. 56 (1952), 248-253
5. B. S. Brudovskii, On k- and c-reflexivity, Litovskii Mat. Sb. 7:1 (1967), 17-21. (Russian)
6. W. C. Waterhouse, Dual groups of vector spaces, Pacific J. Math. 20:1 (1968), 193-196.
7. K. Brauner, Duals of Fréchet spaces and a generalization of the Banach-Dieudonné theorem, Duke Math. J. 40 (1973), 845-855.
8. S. S. Akbarov, Pontryagin duality in the theory of topological vector spaces, Mat. Zametki 57 (1995), 463-466; English transi., Math. Notes 57 (1995), 319-322.
9. S. S. Akbarov, Pontryagin duality in the theory of topological modules, Funktsional. Anal, i Prilozhen. 29:4 (1993), 68-72; English transi., Functional Anal. Appl. 29 (1995), 276-279.
10. S. S. Akbarov, The stereotype approximation property and the trace problem, Funktsional. Anal, i Prilozhen. 33:2 (1999), 68-73; English transi., Functional Anal. Appl. 33 (1999).
11. H. II. Shaeffer, Topological vector spaces, Macmillan, New York 1966; Russian transi., Mir, Moscow 1971
12. R. Engelking, General topology, WPN, Warsaw 1977; Russian transi., Mir, Moscow 1986.
13. J. L. Kelley, General topology, van Nostrand, New York 1955; Russian transi., Nauka, Moscow 1981.
14. O. G. Smolyanov, The space T> Is not hereditarily complete, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 686-696; English transi., Math. USSR-Izv. 5 (1971), 696-710.
15. A. P. Robertson and W. Robertson, Topological vector spaces, Cambridge Univ. Press, Cambridge 1964; Russian transi., Mir, Moscow 1967.