Three-space-problems and small ball properties for Fréchet spaces

DOI10.7169/facm/1308749129zbMath1230.46003OpenAlexW1971888129MaRDI QIDQ548510

Alfred Peris Manguillot

Publication date: 29 June 2011

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

Full work available at URL: https://projecteuclid.org/euclid.facm/1308749129

zbMATH Keywords

Fréchet spacessmall ball propertiesthree-space-properties

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Cites Work

• On the three-space-problem for topological vector spaces
• Metric spaces with the small ball property
• Stefan Heinrich's Density Condition for Fréchet Spaces and the Characterization of the Distinguished Köthe Echelon Spaces
• On the lifting of bounded sets in Fréchet spaces
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