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Results tagged with baer-rings
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user 100607
2
votes
Accepted
Two points concerning Baer *-rings
A useful reference is Berberian's book "Baer *-rings".
1 - If $x^*x=1$, then $x$ is certainly a partial isometry, since $xx^*x=x$. By taking $e=1$ and $f=xx^*$ in Proposition 1.9 of Berberian, we obt …
5
votes
Some non-trivial Baer *-rings
I am not sure whether your definition of a Baer *-ring is correct. In the book of Berberian on Baer *-rings a ring $A$ is called a Baer *-ring if
1) $A$ is a *-ring (not necessarily an algebra), i.e. …