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Results tagged with c-star-algebras
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user 29671
A C*-algebra is a complex Banach algebra together with an isometric antilinear involution satisfying (a b)* = b* a* and the C*-identity ‖a* a‖ = ‖a‖². Related tags: [banach-algebras], [von-neumann-algebras], [operator-algebras], [spectral-theory].
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Commutant of a von Neumann algebra as the linear span of unitaries.
See Remark 2.2.2 on p.45 of Murphy's book. There he shows every element in a unital C*-algebra may be written as a linear combination of four unitary elements.
