Weighted inductive and projective limits of normed Köthe function spaces

DOI10.1007/BF03323402zbMath0636.46023OpenAlexW1980692448MaRDI QIDQ1098056

Konrad Reiher

Publication date: 1988

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323402

zbMATH Keywords

projective limitKöthe function spaceFatou propertybounded setslocally convex inductive limitsaturated function normweighted inductive limits of spaces of holomorphic and harmonic functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inductive and projective limits in functional analysis (46M40)

Related Items (10)

Köthe echelon spaces à la Dieudonné ⋮ Cotype and complemented copies of $c_0$ in spaces of operators ⋮ The Problem of Topologies of Grothendieck and the Class of Fréchet T-Spaces ⋮ Weighted (LF)-spaces of measurable functions ⋮ Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable ⋮ On the generalized weighted Lebesgue spaces of locally compact groups ⋮ DIEUDONNÉ—KÖTHE DUALITY FOR VECTOR—VALUED FUNCTION SPACES: LOCALIZATION OF BOUNDED SETS AND BARRELLEDNESS ⋮ The Space of Pettis Integrable Functions is Barrelled ⋮ THE FATOU COMPLETION OF A FRÉCHET FUNCTION SPACE AND APPLICATIONS ⋮ Characterisation of the Weyl-Hörmander classes by time-frequency shifts

Cites Work

• Nukleare Räume aus M.K.-Funktionen
• Perfect Fréchet spaces
• Ultrapowers of Locally Convex Spaces and Applications, I
• A Projective Description of Weighted Inductive Limits
• Representation of Holomorphic Functions by Boundary Integrals
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