Título inglés | On the Schatten Sφ classes. |
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Título español | Sobre las clases Sφ de Schatten. |
Autor/es | Simôes, Marilda A. |
Organización | Inst. Mat. Fac. Archit. Univ. Napoli, Nápoles, Italia |
Revista | 0213-8743 |
Publicación | 1991, 6 (1): 52-54, 7 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | 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 the spaces Sφ of the φ-nuclear operators and to compare their properties with those of the well-known space S1 of nuclear operators. |
Clasificación UNESCO | 120201 |
Palabras clave español | Ideal de operadores ; Operadores nucleares ; Espacios de Hilbert |
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