The existence of bases in complemented nuclear subspaces of infinite type power series spaces

DOI10.1007/BF02482432zbMath0972.46005MaRDI QIDQ1580178

V. P. Kondakov

Publication date: 18 January 2001

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

existence of bases in an arbitrary complemented subspace of the space \(\ell_2[n^r\) of rapidly decreasing seque]infinite type nuclear power series spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Classical Banach spaces in the general theory (46B25) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Summability and bases in topological vector spaces (46A35)

Related Items (1)

On the existence of a basis in a complemented subspace of a nuclear Köthe space from class $(d_1)$

Cites Work

• Complemented infinite type power series subspaces of nuclear Fréchet spaces

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