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Journals / Turkish Journal of Mathematics / 1999 / Cilt: 23 - Sayı: 2

Criteria of Le page Type in Involutive Banach Algebras

A. EL KINANI, M. OUDADESS

Pages
315–321
DOI
—

Abstract

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

Özet

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

Keywords: Banach algebra, Commutativity, C\star-algebra, antilinear map, Spectral radius, Numerical radius.