| Title: | Noninvertibility preservers on Banach algebras |
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| Authors: | ID Kuzma, Bojan (Author) |
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| 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 - Short Scientific Article |
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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: | 3195 |
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| Downloads: | 126 |
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| Metadata: |     |
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