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  Far East Journal of Mathematical Sciences (FJMS)  
 ISSN: 0972-0871
 
 
 

     Far East Journal of Mathematical Sciences (FJMS)
    Volume 30, Issue 2, Pages 221 - 225 (August 2008)


A THEOREM ON SEQUENTIAL CONVERGENCE

U. N. Bassey (Nigeria)

Received April 29, 2008

References:



[1] G. R. Allan, A spectral theory for locally convex algebras, Proc. London Math. Soc. 15(3) (1965), 399-421.

[2] N. Bourbaki, Espaces vectoriels topologiques, Chaps I-II, Act. Sci. Ind. 1189 (1953).

[3] W. Donoghue and K. Smith, On the symmetry and bounded closure of locally convex spaces, Trans. Amer. Math. Soc. 73 (1952), 321-344.

[4] A. El Kinani, L. Oubbi and M. Oudadess, Spectral and boundedness radii in locally convex algebras, Georgian Math. J. 5(3) (1998), 233-241.

[5] T. Husain, Infra-sequential topological algebras, Canadian Math. Bull. 22 (1979), 413-418.

[6] G. Köthe, Topological Vector Spaces I, Springer-Verlag, Berlin, Heidelberg, New York, 1983.

[7] E. A. Michael, Locally multiplicatively-convex topological algebras, Mem. Amer. Math. Soc. No. 11 (1952).

[8] S. Warner, Inductive limits of normed algebras, Trans. Amer. Math. Soc. 82 (1956), 190-216.

[9] J. H. Webb, Sequential convergence in locally convex spaces, Proc. Camb. Phil. Soc. 64 (1968), 341-361.

Keywords and phrases: locally convex algebra, pseudo-completeness, Mackey-convergence.

 


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