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Modular Annihilator Algebras
- Source :
- Canadian Journal of Mathematics. 18:566-578
- Publication Year :
- 1966
- Publisher :
- Canadian Mathematical Society, 1966.
-
Abstract
- In a recent paper (7) Yood developed the beginnings of a theory of modular annihilator algebras. In this paper we extend his work on these algebras.The definition of modular annihilator algebra is algebraic in nature (see §4) ; in fact the algebra need not be assumed even topological. However, a significant number of important normed algebras are modular annihilator algebras. A list of examples is given in §8.The theory of modular annihilator algebras is related to the theory of certain important topological algebras. In §5 we consider the relationships between dual and annihilator algebras and modular annihilator algebras, and in §7, the relationship between completely continuous normed algebras and modular annihilator algebras.
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 18
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi...........24288219253877ab010f5a4ec2e77fe9