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Kragujevac Journal of Mathematics
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2004, br. 26, str. 123-128
Some results about Banach compact algebras
(naslov ne postoji na srpskom)
School of Computational and Mathematical Sciences University of the North, South Africa
Sažetak
(ne postoji na srpskom)
In this paper, we prove that (i) if A is a quasi-complete locally m-convex algebra on which the operator  is Banach compact for all elements y in a sequentially dense subset of A, then A is a Banach compact locally m-convex algebra and (ii) that every Montel algebra is Banach compact.
Reference
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Babalola, V.A. (1997) Semi-precompact maps. Nigerian journal of science, 31, 207-217
Bonsall, F.F., Duncan, J. (1973) Complete Normed algebras. Berlin, itd: Springer Verlag
Freundlich, M. (1949) Completely continuous elements of a normed ring. Duke Mathematical Journal, 16, 273-283
Michael, E.A. (1952) Locally multiplicatively-convex topological algebras. Memoirs of the American Mathematical Society, 1952, 11, 79-
Schaefer, H.H. (1966) Topological vector spaces. London-New York, itd: Macmillan Publishing
Yau-Chuen, W. (1992) Introductory theory of topological vector spaces. New York-Basel: Marcel Dekker
Ylinen, K. (1968) Compact and finite-dimensional elements of normed algebras. Annales academiae scientiarum fennicae, 428, 37-
 

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jezik rada: engleski
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objavljen u SCIndeksu: 02.06.2007.

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