1991 | OriginalPaper | Chapter
Banach Algebras
Author : Bernard Aupetit
Published in: A Primer on Spectral Theory
Publisher: Springer US
Included in: Professional Book Archive
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A complex algebra is a vector space A over the complex field ℂ, with a multiplication satisfying the following properties: $$x(yz) = (xy)z, (x + y)z = xz + yz, x(y + z) = xy + xz, \lambda (xy) = (\lambda x)y = x(\lambda y),$$