A characterization of generalized monotone normed cones

DOI10.1007/s10114-005-0799-7zbMath1133.54029OpenAlexW1973016011MaRDI QIDQ2644336

Enrique Alfonso Sánchez-Pérez, Oscar Valero, Salvador Romaguera

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0799-7

zbMATH Keywords

conecomplexity analysisquasi-normquasi-pseudo-metricmonotone quasi-norm

Mathematics Subject Classification ID

Connections of general topology with other structures, applications (54H99) Theory of computing (68Q99) Topological linear spaces and related structures (46A99)

Related Items (6)

On sublinear analogs of weak topologies in normed cones ⋮ HAHN-BANACH TYPE THEOREMS ON FUNCTIONAL SEPARATION FOR CONVEX ORDERED NORMED CONES ⋮ A characterization of completeness via absolutely convergent series and the Weierstrass test in asymmetric normed semilinear spaces ⋮ Closed graph and open mapping theorems for normed cones ⋮ A sublinear analog of the Banach-Mazur theorem in separated convex cones with norm ⋮ Quotient normed cones

Cites Work

• 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.
• Quasi-metric properties of complexity spaces
• The bicompletion of an asymmetric normed linear space
• Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
• On the structure of the complements of Chebyshev sets
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