On topological classification of complete linear metric spaces
C. Bessaga (1964)
Fundamenta Mathematicae
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Displaying similar documents to “On the isomorphism of cartesian products of locally convex spaces”
On topological classification of complete linear metric spaces
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.
Absolute bases, tensor products and a theorem of Bohr
Séan Dineen, Richard Timoney (1989)
Studia Mathematica
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Isomorphic embeddings of some generalized power series spaces
V. Kashirin (1981)
Studia Mathematica
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Remarks on independent sequences and dimension in topological linear spaces.
Z. Lipecki (1998)
Collectanea Mathematica
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Perturbation theory and strictly singular operators in locally convex spaces
D. van Dulst (1970)
Studia Mathematica
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Barreledness of subspaces of countable codimension and the closed graph theorem
D. Van Dulst (1972)
Compositio 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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1. The operator ideals and measures in linear spaces 469-472 2. Schauder bases and linear topological invariants 473-478 3. Various problems 479-483
On non-primary Fréchet Schwartz spaces
J. Díaz (1997)
Studia Mathematica
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Let E be a Fréchet Schwartz space with a continuous norm and with a finite-dimensional decomposition, and let F be any infinite-dimensional subspace of E. It is proved that E can be written as G ⨁ H where G and H do not contain any subspace isomorphic to F. In particular, E is not primary. If the subspace F is not normable then the statement holds for other quasinormable Fréchet spaces, e.g., if E is a quasinormable and locally normable Köthe sequence space, or if E is a space of holomorphic...
Some remarks on Dragilev's theorem
C. Bessaga (1968)
Studia Mathematica
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