A complex algebra is an associative ring A which is also a complex vector space. It is assumed that vector space addition and ring addition coincide and that the operations of multiplication and multiplication by scalars satisfy the relation
$$ \lambda (xy) = (\lambda x)y = x(\lambda y) $$
for all x, yA and for all complex numbers λ.


Banach Algebra Singular Integral Operator Fredholm Operator Complex Hilbert Space Real Spectrum 
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© Birkhäuser Verlag AG 2008

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