Retakh's conditions and regularity properties of (LF)-spaces

DOI10.1007/BF01197594zbMath0858.46007MaRDI QIDQ1924982

Jing-Hui Qiu

Publication date: 22 November 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

regularity(LF)-spacesequential completenesscountable inductive limitsequentially retractiveRetakh's condition \((M_ 0)\)weak sequential retractivityweakly sequentially complete Fréchet spaces

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13)

Related Items (4)

On composition operators between weighted (LF)‐ and (PLB)‐spaces of continuous functions ⋮ Intersections of Fréchet spaces and (LB)-spaces ⋮ Grothendieck spaces with the Dunford-Pettis property ⋮ Sequential retractivities and regularity on inductive limits

Cites Work

• A question of D. Vogt on (LF)-spaces
• Regularity conditions on (LF)-spaces
• Dieudonne-Schwartz Theorem in Inductive Limits of Metrizable Spaces
• Lokalkonvexe Sequenzen mit kompakten Abbildungen.
• Homological methods in the theory of locally convex spaces
• Folgenretraktive Sequenzen lokalkonvexer Räume.
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