Approximation properties defined by operator ideals
Jesús M. Fernández Castillo (1987)
Extracta Mathematicae
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Displaying similar documents to “The internal structure of some spaces.”
Approximation properties defined by operator ideals
Generalized Nash-Moser smoothing operators and the structure of Fréchet spaces
Vincenzo Moscatelli, Marilda Simões (1987)
Studia Mathematica
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On the space of φ-nuclear operators on l.
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.
On Grothendieck space ideals
Jesús M. Fernández Castillo (1989)
Extracta Mathematicae
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On the Schatten S classes.
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...
On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces
Andreas Benndorf (1983)
Studia Mathematica
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Ideals of operators on Banach spaces and nuclear locally convex spaces
Pietsch, A.
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