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.Referenced on Wolfram|Alpha
Bounded Left Approximate IdentityCite this as:
Moslehian, Mohammad Sal. "Bounded Left Approximate Identity." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/BoundedLeftApproximateIdentity.html