Upper bounds for continuous seminorms and special properties of bilinear maps

DOI10.1016/j.topol.2012.05.010zbMath1255.46001arXiv1112.1824OpenAlexW2964170880MaRDI QIDQ444728

Helge Glöckner

Publication date: 16 August 2012

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

Full work available at URL: https://arxiv.org/abs/1112.1824

zbMATH Keywords

manifolddirect sumsconvolutionLie groupbilinear mapparacompactnesstest functionscompact covering numbercountable basiscountable neighbourhood propertyupper bound condition

Mathematics Subject Classification ID

Convolution, factorization for one variable harmonic analysis (42A85) General theory of locally convex spaces (46A03) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Spaces of linear operators; topological tensor products; approximation properties (46A32) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Group algebras of locally compact groups (22D15)

Related Items (2)

Continuity of bilinear maps on direct sums of topological vector spaces ⋮ Differentiability of the evolution map and Mackey continuity

Cites Work

• Final group topologies, Kac-Moody groups and Pontryagin duality
• The topology of finitely open sets is not a vector space topology
• Inductive limits of topologies, their direct products, and problems related to algebraic structures
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• Towards a Lie theory of locally convex groups
• \(\sigma\)-lokaltopologische Räume und projektive Tensorprodukte
• Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups
• Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus
• The countable neighbourhood property and tensor products
• The inverse function theorem of Nash and Moser
• Topologies on spaces of vector-valued meromorphic functions
• Continuity of Convolution of Test Functions on Lie Groups
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