Abstract
Some subsets of a Banach ${}^{\ast}$-algebra $A$ are shown to be dense. In the special case of the algebra of $L(H)$ of all bounded linear operators on a Hilbert space $H$, the set of all $T$ in $L(H)$ for which $T^{n}$ is quasi-normal for no positive integers $n$ is dense in $L(H)$.
Citation
Bertram Yood. "Dense subsets of Banach $\ast$-algebras." Illinois J. Math. 43 (2) 403 - 409, Summer 1999. https://doi.org/10.1215/ijm/1255985222
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