On the pillars of functional analysis

DOI10.1007/S13398-021-01108-1zbMath1483.46003OpenAlexW3193931919MaRDI QIDQ1982633

M. Victoria Velasco

Publication date: 14 September 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01108-1

zbMATH Keywords

closed graph theoremsum theoremopen mapping theoremclosed range theoremuniform boundedness theoremBanach isomorphism theoremnorms theorem

Mathematics Subject Classification ID

Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Operators on Banach spaces (47B01)

Cites Work

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• Some remarks on the history of functional analysis
• On Banach's closed range theorem
• Logical equivalence of the fundamental theorems on operators between Banach spaces
• A Really Simple Elementary Proof of the Uniform Boundedness Theorem
• Elementary Functional Analysis
• An Introduction to Banach Space Theory
• Functional Analysis

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