Weighted (LF)‐spaces of Continuous Functions

DOI10.1002/mana.19941650104zbMath0839.46015OpenAlexW2097038602MaRDI QIDQ4846786

Klaus Dieter Bierstedt, José Bonet

Publication date: 9 October 1995

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

Full work available at URL: https://doi.org/10.1002/mana.19941650104

zbMATH Keywords

projective hullsweighted inductive limits of spaces of holomorphic functionsweighted \((LF)\)-spaces of continuous functionsweighted Fréchet 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) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Related Items (17)

On diagonal operators between the sequence (LF)-spaces \(l_p(\mathcal{V})\) ⋮ Intersections of Fréchet Schwartz spaces and their duals ⋮ Multiplication operators on generalized weighted spaces of continuous functions ⋮ Unnamed Item ⋮ Weighted (LF)-spaces of measurable functions ⋮ On composition operators between weighted (LF)‐ and (PLB)‐spaces of continuous functions ⋮ Weighted composition operators on non locally convex weighted spaces with operator-valued weights ⋮ Topological properties of convolutor spaces via the short-time Fourier transform ⋮ Intersections of Fréchet spaces and (LB)-spaces ⋮ A question of D. Vogt on (LF)-spaces ⋮ Ultradistributions of Roumieu type and projective descriptions ⋮ 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 ⋮ Bounded Sets in (LF)-Spaces ⋮ PLB-spaces of holomorphic functions with logarithmic growth conditions ⋮ On the projective description of weighted (LF)-spaces of continuous functions

Cites Work

• A question of D. Vogt on (LF)-spaces
• On bornological \(C\bar V(X)\) spaces
• Regularity conditions on (LF)-spaces
• Dual density conditions in (DF)-spaces. I
• Completeness of the (LB)-spaces \({\mathcal V}C(X)\)
• Ultradifferentiable functions and Fourier analysis
• Analytically uniform spaces and their applications to convolution equations

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