Closed universal subspaces of spaces of~infinitely differentiable functions

DOI10.5802/aif.2848zbMath1460.30021OpenAlexW2332775767MaRDI QIDQ486752

Augustin Mouze, Stéphane Charpentier, Quentin Menet

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/aif.2848

zbMATH Keywords

universalityTaylor seriesuniversal seriesspaceabilityinfinitely differentiable real functions

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) (C^infty)-functions, quasi-analytic functions (26E10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Cyclic vectors, hypercyclic and chaotic operators (47A16) Universal Taylor series in one complex variable (30K05)

Related Items (5)

Polynomial inequalities and universal Taylor series ⋮ On doubly universal functions ⋮ Generalized universal series ⋮ Hypercyclic subspaces on Fréchet spaces without continuous norm ⋮ On countably universal series in the complex plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A problem on the structure of Fréchet spaces
• Hypercyclic subspaces in omega
• On E. Borel's theorem
• Universal and chaotic multipliers on spaces of operators
• Hypercyclic subspaces and weighted shifts
• Hypercyclic subspaces for Fréchet space operators
• Linearity of sets of strange functions
• Universality and ultradifferentiable functions: Fekete’s theorem
• Sous-espaces fermés de séries universelles sur un espace de Fréchet
• On the closed subspaces of universal series in Banach spaces and Fréchet spaces
• Simultaneous approximation by universal series
• Universal families and hypercyclic operators
• Abstract theory of universal series and applications
• Hypercyclic sequences of operators

This page was built for publication: Closed universal subspaces of spaces of~infinitely differentiable functions