Title: | Noninvertibility preservers on Banach algebras |
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Authors: | ID Kuzma, Bojan (Author) |
Files: | http://dx.doi.org/10.1007/s10587-006-0066-9
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Language: | English |
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Work type: | Not categorized |
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Typology: | 1.03 - Other scientific articles |
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Organization: | IAM - Andrej Marušič Institute
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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. |
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Keywords: | mathematics, functional analysis, linear preserver, noninvertible element, semisimple Banach algebra, socle |
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Year of publishing: | 2006 |
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Number of pages: | str. 919-921 |
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Numbering: | Vol. 56, no. 3 |
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PID: | 20.500.12556/RUP-4062 |
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ISSN: | 0011-4642 |
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UDC: | 517.982.2 |
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COBISS.SI-ID: | 14132825 |
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Publication date in RUP: | 15.10.2013 |
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Views: | 3766 |
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Downloads: | 127 |
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