Geodesic
Non-normal elements in Banach $^*$-algebras
B. Yood1
1 Department of Mathematics University of Oregon Eugene, OR 97403, U.S.A.
Studia Mathematica, Tome 160 (2004) no. 3, pp. 201-204

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $A$ be a Banach $^*$-algebra with an identity, continuous involution, center $Z$ and set of self-adjoint elements ${\mit\Sigma}$. Let $h\in{\mit\Sigma}$. The set of $v\in{\mit\Sigma}$ such that $(h+iv)^n$ is normal for no positive integer $n$ is dense in ${\mit\Sigma}$ if and only if $h\not\in Z$. The case where $A$ has no identity is also treated.
DOI : 10.4064/sm160-3-1
Mots-clés : banach * algebra identity continuous involution center set self adjoint elements mit sigma mit sigma set mit sigma normal positive integer dense mit sigma only where has identity treated

B. Yood 1

1 Department of Mathematics University of Oregon Eugene, OR 97403, U.S.A. 
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B. Yood. Non-normal elements in Banach $^*$-algebras. Studia Mathematica, Tome 160 (2004) no. 3, pp. 201-204. doi: 10.4064/sm160-3-1

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