Examples of nuclear linear metric spaces without a basis
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Publication:1232775
DOI10.1007/BF01075487zbMath0344.46014MaRDI QIDQ1232775
N. M. Zobin, Boris S. Mityagin
Publication date: 1974
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
General theory of locally convex spaces (46A03) Summability and bases in topological vector spaces (46A35)
Related Items
Logarithmic dimension and bases in Whitney spaces ⋮ Basis in the space of \(C^\infty\)-functions on a graduated sharp cusp ⋮ On bounded approximation properties of spaces of holomorphic functions on certain open subsets of strong duals of nuclear Frechet spaces ⋮ Some remarks on quasi-equivalence of bases in Fréchet spaces ⋮ 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
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- The absence of a linear resolvent operator in problems in the theory of holomorphic functions
- A counterexample to the approximation problem in Banach spaces
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- Nukleare Funktionenräume und singuläre elliptische Differentialoperatoren
- The Approximation Problem for Banach Spaces
- Produits tensoriels topologiques et espaces nucléaires
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