Spaces \(S^{\nu}\), diametral dimension and property \((\overline{\operatorname{\Omega}})\)

DOI10.1016/j.jmaa.2016.12.067zbMath1368.46009OpenAlexW2587772499MaRDI QIDQ508985

Loïc Demeulenaere

Publication date: 8 February 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.12.067

zbMATH Keywords

sequence spacesdiametral dimensionproperty \((\overline{\operatorname{\Omega}})\)

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Sequence spaces (including Köthe sequence spaces) (46A45) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Cites Work

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• On the equality between two diametral dimensions
• Beyond Besov spaces. I: Distributions of wavelet coefficients
• Topological properties of the sequence spaces \(S^{\nu }\)
• Advanced topology on the multiscale sequence spaces \(S^\nu \)
• Die diametrale Dimension von lokalkonvexen Räumen
• Diametral dimensions of Fréchet spaces
• Diametral dimension of some pseudoconvex multiscale spaces

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