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Bounded Left Approximate Identity


A bounded left approximate identity for a normed algebra A is a bounded net {e_alpha}_(alpha in I) with the property lim_(alpha)e_alphaa=a for a in A. Bounded right and two-sided approximate identities are defined similarly.


This entry contributed by Mohammad Sal Moslehian

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References

Bonsall, F. F. and Duncan, J. Complete Normed Algebras. New York: Springer-Verlag, 1973.

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Bounded Left Approximate Identity

Cite this as:

Moslehian, Mohammad Sal. "Bounded Left Approximate Identity." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/BoundedLeftApproximateIdentity.html

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