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Banach's closed range theorem and Fredholm alternative theorem in non- Archimedean Banach spaces

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Publication:797114
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zbMath0545.46059MaRDI QIDQ797114

Takemitsu Kiyosawa

Publication date: 1984

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

compact operatorFredholm alternativecompletely continuousBanach's closed range theoremnon-Archimedean Banach spaces


Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) (Semi-) Fredholm operators; index theories (47A53) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Non-Archimedean valued fields (12J25)


Related Items (2)

Range inclusion of operators on non-archimedean Banach space ⋮ Examples of non-Archimedean Fréchet spaces without nuclear Köthe quotients







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