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A representation theorem for partially ordered Banach algebras

Published online by Cambridge University Press:  24 October 2008

Kung-Fu Ng
Kung-Fu Ng
Affiliation:
University College, Swansea
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Extract

Let be a real algebra which is also a Banach space. Then is called a partially ordered Banach algebra if there is specified a non-empty subset of , called the positive cone, such that

and

(A 5) is 1-normal and closed. (We recall that is said to be 1-normal if

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 1 , January 1968 , pp. 53 - 59
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

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(3)Simmons, G. F.Introduction to topology and modern analysis (McGraw-Hill, 1963).Google Scholar