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SCHATTEN CLASSES OF MATRICES IN A GENERALIZED B(l2)
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In this paper, we study a generalization of the Banach space B(l2) of all bounded linear operators on l2. Over this space, we present some reasonable ways to define Schatten-type classes which are generalizations of the classical Schatten classes of compact operators on l2.
Abstract
In this paper, we study a generalization of the Banach space B(l2) of all bounded linear operators on l2. Over this space, we present some reasonable ways to define Schatten-type classes which are generalizations of the classical Schatten classes of compact operators on l2.
참고문헌 (9)
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- L. Livshits, "Schur algebras over function algebras", Houston J. Math., 30(4), pp.1195~1217 (2004)
- J. Rakbud, "Spaces of sequences over function algebras", J. Anal. Appl., 5(3), pp.185~199 (2007)
- R. Schatten, "A Theory of Cross-Spaces, Annals of Mathematics Studies, no. 26" (1950), Princeton University Press
- J. Schur, "Bemerkungen Theorie der beschranken Biline¨arformen mit unendlich vielen Ver¨ander lichen", J. Reine Angew. Math. (1911)
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