A note on multiplier convergent series

DOI10.1016/j.topol.2016.08.013zbMath1354.46005OpenAlexW2510279693MaRDI QIDQ314338

Jan Spěvák

Publication date: 13 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2016.08.013

zbMATH Keywords

topological vector space(Cauchy) summable sequencemultiplier Cauchy seriesmultiplier convergent seriessubfield

Mathematics Subject Classification ID

Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Summability and bases in topological vector spaces (46A35)

Cites Work

• Unnamed Item
• Metrizable TAP, HTAP and STAP groups
• Productivity of sequences with respect to a given weight function
• Group-valued continuous functions with the topology of pointwise convergence
• Orlicz-Pettis theorems for multiplier convergent series
• Productivity of some classes of topological linear spaces
• Sequentially continuous homomorphisms on products of topological groups
• Productivity of sequences in non-abelian topological groups
• Direct sums and products in topological groups and vector spaces

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