Closed ideals of \(A^\infty\) and a famous problem of Grothendieck
From MaRDI portal
Publication:643334
DOI10.4171/RMI/660zbMath1242.46003MaRDI QIDQ643334
Publication date: 28 October 2011
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmi/1312906785
Fréchet algebraanalytic functionsbasis\(C^{\infty}\)-functionsnuclear Fréchet spacepower series generator
General theory of commutative topological algebras (46J05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fréchet algebras, formal power series, and analytic structure
- Boundary values of absolutely convergent Taylor series
- Modified construction of nuclear Frechet spaces without basis
- Nuclear Frechet spaces without bases. III: Every nuclear Frechet space not isomorphic to omega admits a subspace and a quotient space without a strong finite dimensional decomposition
- The space of real-analytic functions has no basis
- Fréchet algebras of power series
- On Fréchet algebras of power series
- Fréchet algebras, formal power series, and automatic continuity
- Fréchet spaces with quotients failing the bounded approximation property
- Frechet Spaces with Nuclear Kothe Quotients
- Quotient Spaces Without Bases in Nuclear Frechet Spaces
- Fréchet Spaces without continuous Norms and without Bases
- Fréchet algebras and formal power series
- Ideals in Rings of Analytic Functions with Smooth Boundary Values
- Zur Theorie der Systeme linearer Gleichungen