Multilinear operators between asymmetric normed spaces

DOI10.4064/cm7814-6-2019zbMath1456.46041OpenAlexW3010956722MaRDI QIDQ5126660

Faiz Latreche, Elhadj Dahia

Publication date: 20 October 2020

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7814-6-2019

zbMATH Keywords

closed graph theoremBanach-Steinhaus theoremasymmetric normcontinuous multilinear operator

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60) Other (nonclassical) types of functional analysis (46S99)

Related Items (1)

Compact bilinear operators on asymmetric normed spaces

Cites Work

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• Continuous operators on asymmetric normed spaces
• Quasi-uniform structures in linear lattices
• Sequence spaces and asymmetric norms in the theory of computational complexity.
• The closed graph theorem for multilinear mappings
• The uniform boundedness theorem in asymmetric normed spaces
• Zabrejko's lemma and the fundamental principles of functional analysis in the asymmetric case
• Functional Analysis in Asymmetric Normed Spaces
• Operator ideals and spaces of bilinear operators
• The Dual Space of an Asymmetric Normed Linear Space
• Smooth analysis in Banach spaces

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