The Dual Space of an Asymmetric Normed Linear Space
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Publication:4709430
DOI10.2989/16073600309486046zbMath1043.46021OpenAlexW2075707935MaRDI QIDQ4709430
Lluís Miquel Garcia Raffi, Salvador Romaguera, Enrique Alfonso Sánchez-Pérez
Publication date: 2003
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2989/16073600309486046
Normed linear spaces and Banach spaces; Banach lattices (46B99) Duality and reflexivity in normed linear and Banach spaces (46B10)
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The Goldstine theorem for asymmetric normed linear spaces ⋮ Local compactness in right bounded asymmetric normed spaces ⋮ On the approximation of the global extremum of a semi-Lipschitz function ⋮ Quasi-metric properties of the dual cone of an asymmetric normed space ⋮ The uniform boundedness theorem in asymmetric normed spaces ⋮ On duality for fuzzy quasi-normed space ⋮ Multilinear operators between asymmetric normed spaces ⋮ Index of symmetry and topological classification of asymmetric normed spaces ⋮ A characterization of completeness via absolutely convergent series and the Weierstrass test in asymmetric normed semilinear spaces ⋮ Asymmetric norms and optimal distance points in linear spaces ⋮ Computing optimal distances to Pareto sets of multi-objective optimization problems in asymmetric normed lattices ⋮ Closed graph and open mapping theorems for normed cones ⋮ Compactness in asymmetric normed spaces ⋮ On balancedness and D-completeness of the space of semi-Lipschitz functions ⋮ On the spaces of linear operators acting between asymmetric cone normed spaces ⋮ Quotient normed cones ⋮ Asymmetric normed Baire space ⋮ Compact and precompact sets in asymmetric locally convex spaces ⋮ The weak topology in finite dimensional asymmetric normed spaces ⋮ Compact convex sets in 2-dimensional asymmetric normed lattices ⋮ Weak bases and quasi-pseudo-metrization of bispaces ⋮ Continuous operators on asymmetric normed spaces
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