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Modular Annihilator, A*-Algebras

Published online by Cambridge University Press:  20 November 2018

B. J. Tomiuk
B. J. Tomiuk*
Affiliation:
University of Ottawa, Ottawa, Ontario
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We find several equivalent conditions for an A*-algebra with dense socle to be completely continuous. Such an A*-algebra is modular annihilator [10]. We also study modular annihilator A*-algebras with the weak (βk)-property and obtain a necessary and sufficient condition for such algebras to be dual.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 3 , September 1972 , pp. 421 - 426
Copyright
Copyright © Canadian Mathematical Society 1972

References

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