Structure theory of power series spaces of infinite type.

Dietmar Vogt

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Displaying similar documents to “Structure theory of power series spaces of infinite type.”

Complemented subspaces in tame power series spaces

Ed Dubinsky, Dietmar Vogt (1989)

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Complemented subspaces with a strong finite-dimensional decomposition of nuclear Köthe spaces have a basis

Jörg Krone, Volker Walldorf (1998)

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The following result is proved: Let E be a complemented subspace with an r-finite-dimensional decomposition of a nuclear Köthe space λ(A). Then E has a basis.

Quotient spaces of (s) with basis

Ed Dubinsky, William Robinson (1978)

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On the three-space property: non-containment of l, 1 ≤ p < ∞, or c subspaces.

Juan Carlos Díaz Alcaide (1993)

Publicacions Matemàtiques

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The main result in this paper is the following: Let E be a Fréchet space having a normable subspace X isomorphic to l, 1 ≤ p < ∞, or to c. Let F be a closed subspace of E. Then either F or E/F has a subspace isomorphic to X.