Abstract

The Le Page inequality in Banach algebras is \parallel xy \parallel\leq\alpha\parallel yx\parallel. We consider inequalities where a linear involution appears and has consequences on the involution itself and commutativity results.^1

DOI

Keywords

Banach algebra, Commutativity, C^{\star}-algebra, antilinear map, Spectral radius, Numerical radius.

First Page

315

Last Page

321

Recommended Citation

KINANI, A. E, & OUDADESS, M (1999). Criteria of Le page Type in Involutive Banach Algebras. Turkish Journal of Mathematics 23 (2): 315-321. https://doi.org/-

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