Trace formula for nuclear perturbations of discrete nonselfadjoint operators.
Milinković, Darko (1991)
Publications de l'Institut Mathématique. Nouvelle Série
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Milinković, Darko (1991)
Publications de l'Institut Mathématique. Nouvelle Série
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Ed Dubinsky (1972)
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Hans Jarchow, Kamil John (1994)
Czechoslovak Mathematical Journal
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Dahmane Achour, Ahlem Alouani (2010)
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This paper introduces the class of Cohen p-nuclear m-linear operators between Banach spaces. A characterization in terms of Pietsch's domination theorem is proved. The interpretation in terms of factorization gives a factorization theorem similar to Kwapień's factorization theorem for dominated linear operators. Connections with the theory of absolutely summing m-linear operators are established. As a consequence of our results, we show that every Cohen p-nuclear (1 < p ≤ ∞ ) m-linear...
Andrés E. Hombría Maté (1986)
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M. Ramanujan, T. Terzioglu (1975)
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A.K. Katsaras (1995)
Annales mathématiques Blaise Pascal
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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...