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Noninvertibility preservers on Banach algebrasBojan Kuzma, 2006, short scientific article
Abstract: It is proved that a linear surjection ▫$\Phi: \mathcal{A} \to \mathcal{B}$▫, which preserves noninvertibility between semisimple, unital, complex Banach algebras, is automatically injective.
Keywords: mathematics, functional analysis, linear preserver, noninvertible element, semisimple Banach algebra, socle
Published in RUP: 15.10.2013; Views: 3219; Downloads: 126
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