On some properties of p-nuclear and p-integral operators
Arne Persson (1969)
Studia Mathematica
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Arne Persson (1969)
Studia Mathematica
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Philip J. Boland, Seán Dineen (1978)
Bulletin de la Société Mathématique de France
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Jean Schmets, Manuel Valdivia (2003)
RACSAM
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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}.
C. Piñeiro (1996)
Collectanea Mathematica
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M. Ramanujan, T. Terzioglu (1975)
Studia Mathematica
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Mário C. Matos (2003)
Collectanea Mathematica
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The space of the fully absolutely (r;r1,...,rn)-summing n-linear mappings between Banach spaces is introduced along with a natural (quasi-)norm on it. If r,rk C [1,+infinite], k=1,...,n, this space is characterized as the topological dual of a space of virtually nuclear mappings. Other examples and properties are considered and a relationship with a topological tensor product is stablished. For Hilbert spaces and r = r1 = ... = rn C [2,+infinite[ this space is isomorphic to the space...
Ed Dubinsky (1972)
Studia Mathematica
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Seán Dineen (1982)
Studia Mathematica
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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.
M. de Wilde (1972)
Studia Mathematica
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