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Displaying similar documents to “On Dragilev type power Köthe spaces”

Compound invariants and embeddings of Cartesian products

P. Chalov, P. Djakov, V. Zahariuta (1999)

Studia Mathematica

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New compound geometric invariants are constructed in order to characterize complemented embeddings of Cartesian products of power series spaces. Bessaga's conjecture is proved for the same class of spaces.

A conditional quasi-greedy basis of l₁

S. J. Dilworth, David Mitra (2001)

Studia Mathematica

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We show that the Lindenstrauss basic sequence in l₁ may be used to construct a conditional quasi-greedy basis of l₁, thus answering a question of Wojtaszczyk. We further show that the sequence of coefficient functionals for this basis is not quasi-greedy.

Köthe spaces modeled on spaces of C ∞ functions

Mefharet Kocatepe, Viacheslav Zahariuta (1996)

Studia Mathematica

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The isomorphic classification problem for the Köthe models of some C ∞ function spaces is considered. By making use of some interpolative neighborhoods which are related to the linear topological invariant D φ and other invariants related to the “quantity” characteristics of the space, a necessary condition for the isomorphism of two such spaces is proved. As applications, it is shown that some pairs of spaces which have the same interpolation property D φ are not isomorphic.