A separable Fréchet space of almost universal disposition

DOI10.1016/j.jfa.2016.09.019zbMath1361.46002arXiv1603.06361OpenAlexW2307710523MaRDI QIDQ504638

Christian Bargetz, Wiesław Kubiś, Jerzy Kąkol

Publication date: 17 January 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06361

zbMATH Keywords

graded Fréchet spacesGurarii spaceuniversal spaces

Mathematics Subject Classification ID

Locally convex Fréchet spaces and (DF)-spaces (46A04) Inductive and projective limits in functional analysis (46M40) Graded Fréchet spaces and tame operators (46A61)

Related Items (4)

A note on universal operators between separable Banach spaces ⋮ Non-Archimedean Banach spaces of universal disposition ⋮ Fraïssé and Ramsey properties of Fréchet spaces ⋮ Universal disposition is not a 3-space property

Cites Work

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• A proof of uniqueness of the Gurariĭ space
• Banach spaces of universal disposition
• Tame spaces and power series spaces
• The Gurarij spaces are unique
• A splitting theorem for the space of smooth functions
• A tame splitting theorem for exact sequences of Fréchet spaces
• Rapidly converging approximations and regularity theory
• Quasi-Banach spaces of almost universal disposition
• Remarks on Gurarii spaces
• The inverse function theorem of Nash and Moser

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