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Noninvertibility preservers on Banach algebras |
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| Authors: | Bojan Kuzma |
| Institution: | (1) Department of Mathematics, Institute of Mathematics, Physics, and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia |
| Abstract: | It is proved that a linear surjection Ф: A → B, which preserves noninvertibility between semisimple, unital, complex Banach algebras, is automatically injective. |
| Keywords: | linear preserver noninvertible element semisimple Banach algebra socle |
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