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Invertibility preserving maps preserve idempotentsBrešar, Matej ; Šemrl, PeterDokazali smo naslednji izrek: Naj bo ▫${\cal A}$▫ Banachova algebra z enoto in naj bo ▫${\cal B}$▫ standardna operatorska slgabra z enoto na Banachovem prostoru ▫$X$▫. Predpostavimo, da je ... ▫$\Phi:{\cal A \to B}$▫ unitalna surjektivna linearna preslikava, ki ohranja obrnljivost. Potem ▫$\Phi$▫ ohranja idempotente.Source: Michigan mathematical journal. - ISSN 0026-2285 (Let. 45, št. 4, 1998, str. 483-488)Type of material - article, component partPublish date - 1998Language - englishCOBISS.SI-ID - 8574553
Author
Brešar, Matej |
Šemrl, Peter
Topics
matematika |
teorija operatorjev |
linearni ohranjevalci |
ohranjevalci obrnljivosti |
idempotenti |
jordanski homomorfizmi |
Banachovi prostori |
Banachove algebre |
mathematics |
operator theory |
Banach spaces |
Banach algebras |
linear preservers |
invertibility preservers |
idempotents |
Jordan homomorphisms
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Database name | Field | Year |
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Brešar, Matej | 08721 |
Šemrl, Peter | 05953 |
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