Corrigendum and addendum to the paper "A simple diophantine condition in harmonic analysis" Studia Math. 52 (1972), pp. 195-202
Ron Blei (1980)
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Ron Blei (1980)
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T. Pytlik (1974)
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Ed Dubinsky (1972)
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Wojciech Banaszczyk (1993)
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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.
C. Bessaga (1968)
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W. Wojtyński (1970)
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Jean Schmets, Manuel Valdivia (2003)
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Si K es un compacto no vacío en R, damos una condición suficiente para que la inyección canónica de ε(K) en ε(K) sea nuclear. Consideramos el caso mixto y obtenemos la existencia de un operador de extensión nuclear de ε(F) en ε(R) donde F es un subconjunto cerrado propio de R y A y D son discos de Banach adecuados. Finalmente aplicamos este último resultado al caso Borel, es decir cuando F = {0}.
Ed Dubinsky, William Robinson (1978)
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Jörg Krone, Volker Walldorf (1998)
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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.
Andreas Benndorf (1983)
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W. Banaszczyk, J. Grabowski (1984)
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