Essential Ideal

A closed ideal in a -algebra is called essential if has nonzero intersection with every other nonzero closed ideal or, equivalently, if implies for all (Raeburn and Williams 1998).

This entry contributed by Mohammad Sal Moslehian

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References

Murphy, G. J. C-*-Algebras and Operator Theory. New York: Academic Press, 1990.Raeburn, I. and Williams, D. P. Morita Equivalence and Continuous-Trace C-*-Algebras. Providence, RI: Amer. Math. Soc., 1998.

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Essential Ideal

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Moslehian, Mohammad Sal. "Essential Ideal." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/EssentialIdeal.html

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