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Volterra Algebra


The Banach space L^1([0,1]) with the product (fg)(x)=int_0^xf(x-y)g(y)dy is a non-unital commutative Banach algebra. This algebra is called the Volterra algebra.


See also

Banach Algebra, Banach Space

This entry contributed by Mohammad Sal Moslehian

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References

Zelazko, W. Banach Algebras. Amsterdam, Netherlands: Elsevier, 1973.

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Volterra Algebra

Cite this as:

Weisstein, Eric W., with contributions by Mohammad Sal Moslehian. "Volterra Algebra." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/VolterraAlgebra.html

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