Gelfand Mazur Theorem

If is a unital Banach algebra where every nonzero element is invertible, then is the algebra of complex numbers.

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.

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Gelfand Mazur Theorem

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Moslehian, Mohammad Sal. "Gelfand Mazur Theorem." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/GelfandMazurTheorem.html

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