On seminorm and its decomposition

DOI10.1016/j.laa.2019.12.011zbMath1454.46017OpenAlexW2996428544MaRDI QIDQ2174458

Paweł Wójcik

Publication date: 21 April 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.12.011

zbMATH Keywords

orthogonal additivityseminormbarrelkegorthogonally increasing function

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) General theory of locally convex spaces (46A03) Vector spaces, linear dependence, rank, lineability (15A03) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (2)

Characterizations of seminorms satisfying some inequalities with respect to a finite-dimensional subspace ⋮ Orthogonality and norm attainment of operators in semi-Hilbertian spaces

Cites Work

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• Continuity of seminorms on finite-dimensional vector spaces
• On orthogonally additive mappings
• Orthogonally additive and orthogonally increasing functions on vector spaces
• Continuity and discontinuity of seminorms on infinite-dimensional vector spaces

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