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Results tagged with c-star-algebras
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user 145927
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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On analogue of ratio in operator algebras
Let $a$ and $b$ be elements of a von Neumann algebra $\mathscr{A}$. As Jochen Glueck notes, one needs to differentiate between $a/b$ and $a\backslash b$. I would define $a/b$ to be (provided it exists …
