Continuity of seminorms on finite-dimensional vector spaces

DOI10.1016/j.laa.2016.11.013zbMath1352.15002arXiv1612.03712OpenAlexW2557050976MaRDI QIDQ501275

Yong-Cai Geng, Sumit K. Garg

Publication date: 29 December 2016

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

Full work available at URL: https://arxiv.org/abs/1612.03712

zbMATH Keywords

continuitynormsfinite-dimensional vector spacesseminormssubnorms

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (4)

On seminorm and its decomposition ⋮ Characterizations of seminorms satisfying some inequalities with respect to a finite-dimensional subspace ⋮ Continuity and discontinuity of seminorms on infinite-dimensional vector spaces. II ⋮ Continuity and discontinuity of seminorms on infinite-dimensional vector spaces

Cites Work

• Stable subnorms
• Discontinuous subnorms
• Radii and subnorms on finite-dimensional power-associative algebras

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