On the Space lp+ = ∩lqq>p

DOI10.1002/mana.19901470102zbMath0751.46011OpenAlexW2033493432MaRDI QIDQ4712260

Metafune, Giorgio, Vincenzo Bruno Moscatelli

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1002/mana.19901470102

zbMATH Keywords

complemented subspacescountable productsprimary Fréchet spacesstructure theory of Fréchet spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Classical Banach spaces in the general theory (46B25) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Related Items

Some embedding theorems for Hörmander-Beurling spaces, Spaces of operators between Fréchet spaces, Fréchet spaces with unconditional base, Primary products of Banach spaces, The Fréchet spaces \(ces(p+)\), \(1<p<\infty\), Spectral properties of generalized Cesàro operators in sequence spaces, THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓ^p+ AND L^p−, Fréchet spaces with no infinite-dimensional Banach quotients, Fréchet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesàro spaces, THE FATOU COMPLETION OF A FRÉCHET FUNCTION SPACE AND APPLICATIONS, Operators on the Fréchet sequence spaces \(ces(p+)\), \(1\le p<\infty \), Lineability and spaceability for the weak form of Peano’s theorem and vector-valued sequence spaces, Compact integration operators for Fréchet-space-valued measures.

Cites Work

• Complemented subspaces of sums and products of Banach spaces
• Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen