Compact non-nuclear operator problem
Kamil John (1989)
Commentationes Mathematicae Universitatis Carolinae
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Kamil John (1989)
Commentationes Mathematicae Universitatis Carolinae
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Andrés E. Hombría Maté (1986)
Extracta Mathematicae
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Hans Jarchow, Kamil John (1994)
Czechoslovak Mathematical Journal
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Eberhard Gerlach (1971)
Annales de l'institut Fourier
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A general theorem on Hilbert subspaces of dually nuclear spaces is proved, from which all previous results of K. Maurin and the writer on regularity of generalized eigenfunctions follow as simple corollaries. In addition some supplements to L. Schwartz’s work on Hilbert subspaces in spaces of smooth functions are given.
B. Mityagin (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Marilda A. Simoes (1990)
Collectanea Mathematica
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We consider the generalization Sphi of the Schatten classes Sp obtained in correspondence with opportune continuous, strictly increasing, sub-additive functions phi such that phi(0) = 0 and phi(1) = 1. The purpose of this note is to study the spaces Sphi of the phi-nuclear operators and to compare their properties to those of the by now well-known space S1 of nuclear operators.