Countable Direct Sums of Banach Spaces

DOI10.1002/mana.19891410110zbMath0683.46009OpenAlexW1998824386MaRDI QIDQ4732908

Manuel Valdivia

Publication date: 1989

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19891410110

zbMATH Keywords

direct sumB-completeGrothendieck's factorization theoreminductive limits of sequences of quasi- reflexive Banach spacesnon-locally-complete quotientnon-regular (LB)-spacesnot quasi-reflexivesequence of infinite-dimensional Banach spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Duality and reflexivity in normed linear and Banach spaces (46B10)

Cites Work

• On \(B_r\)-completeness