On the equality between two diametral dimensions

DOI10.7169/facm/1594zbMath1409.46006OpenAlexW2582454383MaRDI QIDQ1746211

Françoise Bastin, Loïc Demeulenaere

Publication date: 24 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1485486020

zbMATH Keywords

Schwartz spacesdiametral dimensionKöthe sequence spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Related Items

Spaces \(S^{\nu}\), diametral dimension and property \((\overline{\operatorname{\Omega}})\) ⋮ Diametral dimensions of Fréchet spaces

Cites Work

• On Orlicz-power series spaces
• Imbedding of power series spaces and spaces of analytic functions
• Die diametrale Dimension von lokalkonvexen Räumen
• Stability of smooth sequence spaces.
• Smooth Sequence Spaces and Associated Nuclearity
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