The Banach space with the product is a non-unital commutative Banach algebra. This algebra is called the Volterra algebra.
Volterra Algebra
See also
Banach Algebra, Banach SpaceThis entry contributed by Mohammad Sal Moslehian
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References
Zelazko, W. Banach Algebras. Amsterdam, Netherlands: Elsevier, 1973.Referenced on Wolfram|Alpha
Volterra AlgebraCite this as:
Moslehian, Mohammad Sal. "Volterra Algebra." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/VolterraAlgebra.html