Ultrametric Calkin algebras

DOI10.1090/conm/704/14163OpenAlexW2795336968MaRDI QIDQ4685929

Bertin Diarra

Publication date: 9 October 2018

Published in: Advances in Ultrametric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/704/14163

zbMATH Keywords

Banach spacesFredholm operatorsCalkin algebrascompletely continuous linear operatorsultraproduits

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Ultraproduct techniques in Banach space theory (46B08) (Semi-) Fredholm operators; index theories (47A53) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

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Cites Work

• Bounded linear operators on ultrametric Hilbert spaces
• All automorphisms of the Calkin algebra are inner
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• The Calkin algebra has outer automorphisms
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• Ultraproducts in Banach space theory.
• Eine Idealstruktur Banachscher Operatoralgebren.
• Théorie de Fredholm $p$-adique
• The two-sided closed ideals of the algebra of bounded linear operators of a Hilbert space
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