scientific article; zbMATH DE number 7280142

zbMath1448.46009MaRDI QIDQ5137446

P. Riyas, K. T. Ravindran

Publication date: 2 December 2020

Full work available at URL: http://jprm.sms.edu.pk/topological-structure-of-2-normed-space-and-some-results-in-linear-2-normed-spaces-analogous-to-baires-theorem-and-banach-steinhaus-theorem/

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zbMATH Keywords

locally convex topological vector space2-Banach spacelinear 2-normed spaceequi-continuityequi-boundedlocally bounded set

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Interpolation between normed linear spaces (46B70) General theory of locally convex spaces (46A03) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Related Items

Representation of uniform boundedness principle and Hahn-Banach theorem in linear \(n\)-normed space ⋮ Uniform Boundedness Principle and Hahn-Banach Theorem for b-linear functional related to linear 2-normed space

Cites Work

• Contributions to Non-Archimedean Functional Analysis
• Lineare 2‐normierte Räume
• 2‐Banach Spaces
• Über 2‐BANACH‐Räume
• 2‐metrische Räume und ihre topologische Struktur
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