Complemented subspaces in tame power series spaces

Ed Dubinsky; Dietmar Vogt

Displaying similar documents to “Complemented subspaces in tame power series spaces”

Structure theory of power series spaces of infinite type.

Dietmar Vogt (2003)

RACSAM

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The paper gives a complete characterization of the subspaces, quotients and complemented subspaces of a stable power series space of infinite type without the assumption of nuclearity, so extending previous work of M. J. Wagner and the author to the nonnuclear case. Various sufficient conditions for the existence of bases in complemented subspaces of infinite type power series spaces are also extended to the nonnuclear case.

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

Jörg Krone, Volker Walldorf (1998)

Studia Mathematica

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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)

Studia Mathematica

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Some remarks on Dragilev's theorem

C. Bessaga (1968)

Studia Mathematica

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Basis sequences in a stable finite type power series space

Ed Dubinsky (1980)

Studia Mathematica

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Basic sequences in stable infinite type power series spaces

M. Alpseymen (1981)

Studia Mathematica

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Characterization of subspaces and quotients of nuclear $L_{f} (α, \infty)$ -spaces

Heikki Apiola (1983)

Compositio Mathematica

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Subspaces of smooth sequence spaces

M. Ramanujan, T. Terzioğlu (1979)

Studia Mathematica

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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.

On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces

Andreas Benndorf (1983)

Studia Mathematica

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