Part of the Frontiers in Mathematics book series (FM)
Complex and Real Algebras
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
for all x, y ∈ A and for all complex numbers λ.
$$ \lambda (xy) = (\lambda x)y = x(\lambda y) $$
KeywordsBanach Algebra Singular Integral Operator Fredholm Operator Complex Hilbert Space Real Spectrum
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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