A characterization of completeness via absolutely convergent series and the Weierstrass test in asymmetric normed semilinear spaces

DOI10.1155/2014/596384zbMath1474.46054OpenAlexW1986038347WikidataQ59039771 ScholiaQ59039771MaRDI QIDQ1724479

Naseer Shahzad, Oscar Valero

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/596384

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

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• Compactness and finite dimension in asymmetric normed linear spaces
• Quotient subspaces of asymmetric normed linear spaces
• Continuous operators on asymmetric normed spaces
• Cauchy sequences in quasi-pseudo-metric spaces
• On the Hahn-Banach theorem in certain quasi-uniform structures
• Quasi-uniform structures in linear lattices
• Sequence spaces and asymmetric norms in the theory of computational complexity.
• The bicompletion of an asymmetric normed linear space
• Semi-Lipschitz functions and best approximation in quasi-metric spaces
• Closedness of bounded convex sets of asymmetric normed linear spaces and the Hausdorff quasi-metric
• Convergence and left-\(K\)-sequential completeness in asymmetrically normed lattices
• Compactness in asymmetric normed spaces
• A characterization of generalized monotone normed cones
• Functional Analysis in Asymmetric Normed Spaces
• The Dual Space of an Asymmetric Normed Linear Space
• Duality and quasi-normability for complexity spaces
• Dominated extensions of functionals and V-convex functions of cancellative cones
• Formulation of Linear Programs in Analysis. I: Approximation Theory

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