A New Closed Graph Theorem on Product Spaces

DOI10.4067/S0716-09172015000400008zbMath1355.46006OpenAlexW2332177221MaRDI QIDQ2812617

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Publication date: 17 June 2016

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0716-09172015000400008

zbMATH Keywords

closed graph theoremproduct spacesbilinear mappingsbi-mappingsmulti-mappings

Mathematics Subject Classification ID

Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Multilinear and polynomial operators (47H60)

Cites Work

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• An improvement of a recent closed graph theorem
• A counterexample to the closed graph theorem for bilinear maps
• The closed graph theorem for multilinear mappings
• Zabrejko's lemma and the fundamental principles of functional analysis in the asymmetric case
• On some basic theorems of continuous module homomorphisms between random normed modules
• Continuity of mappings between Fréchet spaces
• Effective Choice and Boundedness Principles in Computable Analysis
• On C‐Suslin spaces

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