Existence of bases and the dual splitting relation for Fréchet spaces

Jörg Krone

Displaying similar documents to “Existence of bases and the dual splitting relation for Fréchet 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 in tame power series spaces

Ed Dubinsky, Dietmar Vogt (1989)

Studia Mathematica

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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.

Some remarks on Dragilev's theorem

C. Bessaga (1968)

Studia Mathematica

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Unsolved Problems

N. Aronszajn, L. Gross, S. Kwapień, N. Nielsen, A. Pełczyński, A. Pietsch, L. Schwartz, P. Saphar, S. Chevet, R. Dudley, D. Garling, N. Kalton, B. Mitjagin, S. Rolewicz, E. Schock, J. Daleckiĭ, J. Dobrakov, B. Gelbaum, G. Henkin, L. Nachbin, N. Peck, L. Waelbroeck, P. Porcelli, M. Rao, M. Zerner, V. Zakharjuta (1970)

Studia Mathematica

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