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Subtag of the [oa.operator-algebras] tag for questions about von Neumann algebras, that is, weak operator topology closed, unital, *-subalgebras of bounded operators on a Hilbert space.

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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 …
Bram Westerbaan's user avatar