Continuity and discontinuity of seminorms on infinite-dimensional vector spaces. II

DOI10.1016/j.laa.2020.02.023zbMath1446.46010arXiv2003.03538OpenAlexW2938595743MaRDI QIDQ2310418

Yanyan Li

Publication date: 6 April 2020

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

Full work available at URL: https://arxiv.org/abs/2003.03538

zbMATH Keywords

Banach spacescontinuitynormsdiscontinuityseminormsinfinite-dimensional vector spacesnorm-topologies

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Continuous maps (54C05) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Related Items (1)

Characterizations of seminorms satisfying some inequalities with respect to a finite-dimensional subspace

Cites Work

• Continuity of seminorms on finite-dimensional vector spaces
• Continuity and discontinuity of seminorms on infinite-dimensional vector spaces
• Banach space theory. The basis for linear and nonlinear analysis
• The Hamel Dimension of any Infinite Dimensional Separable Banach Space is c
• The Non-Existence of a Banach Space of Countably Infinite Hamel Dimension
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