Closed subgroups of nuclear spaces are weakly closed
Wojciech Banaszczyk (1984)
Studia Mathematica
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Displaying similar documents to “Connected subgroups of nuclear spaces”
Closed subgroups of nuclear spaces are weakly closed
Nuclear spaces on a locally compact group
T. Pytlik (1974)
Studia Mathematica
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Summable families in nuclear groups
Wojciech Banaszczyk (1993)
Studia Mathematica
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Nuclear groups form a class of abelian topological groups which contains LCA groups and nuclear locally convex spaces, and is closed with respect to certain natural operations. In nuclear locally convex spaces, weakly summable families are strongly summable, and strongly summable are absolutely summable. It is shown that these theorems can be generalized in a natural way to nuclear groups.
Examples of nuclear systems
Ed Dubinsky (1972)
Studia Mathematica
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Polar lattices from the point of view of nuclear spaces.
Wojciech Banaszczyk (1989)
Revista Matemática de la Universidad Complutense de Madrid
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The aim of this survey article is to show certain questions concerning nuclear spaces and linear operators in normed spaces lead to questions from geometry of numbers.
Holomorphic functions on fully nuclear spaces
Philip J. Boland, Seán Dineen (1978)
Bulletin de la Société Mathématique de France
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A note on p-nuclear operators.
C. Piñeiro (1996)
Collectanea Mathematica
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On conditional bases in non-nuclear Fréchet spaces
W. Wojtyński (1970)
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.
On weak and Schauder decompositions
M. de Wilde (1972)
Studia Mathematica
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On multilinear mappings of nuclear type.
Mário C. Matos (1993)
Revista Matemática de la Universidad Complutense de Madrid
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The space of multilinear mappings of nuclear type (s;r1,...,rn) between Banach spaces is considered, some of its properties are described (including the relationship with tensor products) and its topological dual is characterized as a Banach space of absolutely summing mappings.