Electronic Resource
Springer
Periodica mathematica Hungarica
32 (1996), S. 209-212
ISSN:
1588-2829
Keywords:
Primary 46J05
;
Secondary 47B07
;
47B38
;
Key words and phrases
;
B0-algebras
;
Fréchet algebras
;
semisimplicity
;
maximal ideal spaces
;
compact multipliers
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract It is shown that if the maximal ideal space Δ(A) of a semisimple commutative complete metrizable locally convex algebra contains no isolated points, then every compact multiplies is trivial. In particular, compact multipliers on semisimple commutative Fréchet algebras whose maximal ideal space has no isolated points are identically zero.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02109790
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