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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.
Vincenzo Moscatelli, Marilda Simões (1987)
Studia Mathematica
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Nguyen Van Khue (1990)
Annales Polonici Mathematici
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B. Mityagin (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Andreas Benndorf (1982)
Mathematische Annalen
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L. Crone, D. Fleming, P. Jessup (1972)
Studia Mathematica
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Ed Dubinsky (1975)
Studia Mathematica
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Hans Jarchow, Kamil John (1994)
Czechoslovak Mathematical Journal
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Marilda A. Simôes (1991)
Extracta Mathematicae
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The Schatten Sp classes, 1 ≤ p ≤ ∞, were introduced and studied in [6] in connection with the problem of finding suitable classes of operators having a well-defined trace. In this paper we consider a generalization Sφ of the Schatten classes Sp obtained in correspondence with opportune, continuous, strictly increasing, sub-additive functions φ: [0,∞) → [0,∞) such that φ(0) = 0 and φ(1) = 1. Our purpose is to study...