Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SCHATTEN'S THEOREM ON ABSOLUTE SCHUR ALGEBRAS

  • Rakbud, Jitti (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE MAHIDOL UNIVERSITY) ;
  • Chaisuriya, Pachara (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE MAHIDOL UNIVERSITY)
  • Published : 2008.03.31
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Abstract

In this paper, we study duality in the absolute Schur algebras that were first introduced in [1] and extended in [5]. This is done in a way analogous to the classical Schatten's Theorem on the Banach space $B(l_2)$ of bounded linear operators on $l_2$ involving the duality relation among the class of compact operators K, the trace class $C_1$ and $B(l_2)$. We also study the reflexivity in such the algebras.

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References

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