Projective limits of weighted (LB)-spaces of continuous functions

DOI10.1007/S00013-009-3197-ZzbMath1176.46003OpenAlexW2005523778MaRDI QIDQ1024187

Simone Agethen, José Bonet, Klaus Dieter Bierstedt

Publication date: 16 June 2009

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

Full work available at URL: https://doi.org/10.1007/s00013-009-3197-z

zbMATH Keywords

weighted spaces of continuous functionsderived projective limit functor(PLB)-spaces

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Inductive and projective limits in functional analysis (46M40) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (9)

Weighted (\textit{PLB})-spaces of ultradifferentiable functions and multiplier spaces ⋮ A note on the barrelledness of weighted PLB-spaces of ultradifferentiable functions ⋮ On composition operators between weighted (LF)‐ and (PLB)‐spaces of continuous functions ⋮ Some remarks on diametral dimension and approximate diametral dimension of certain nuclear Fréchet spaces ⋮ Weighted PLB-spaces of continuous functions arising as tensor products of a Fréchet and a DF-space ⋮ Bornological projective limits of inductive limits of normed spaces ⋮ Projective limits of weighted LB-spaces of holomorphic functions ⋮ PLB-spaces of holomorphic functions with logarithmic growth conditions ⋮ Some results about diagonal operators on Köthe echelon spaces

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