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arXiv · 1901.09618

C*-algebra positive element invertibility criteria in terms of $L_1$-norms equivalence

Andrej Novikov
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Abstract

We prove that the $L_1$-norms associated with a positive element $a$ of a unital C*-algebra are equivalent to the norm of C*-algebra if and only if $a$ is invertible.

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Andrej Novikov. 2019-01-28. C*-algebra positive element invertibility criteria in terms of $L_1$-norms equivalence. https://doi.org/10.1134/s1995080219050159

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