Let $R$ be a $\ast$-algebra. Is there a name for an element $x\in R$ that satisfies $x x^{\ast}=0$.
2026-04-12 19:08:43.1776020923
Name for a special element of a *-algebra
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I don't think there is an established name, but (as suggested by rschwieb in a comment) it seems natural to call such an element isotropic or null, since it is such with respect to the natural sesquilinear form given by $\langle x, y\rangle = xy^*$.