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SCHATTEN'S THEOREM ON ABSOLUTE SCHUR ALGEBRAS
Rakbud, Jitti,Chaisuriya, Pachara Korean Mathematical Society 2008 대한수학회지 Vol.45 No.2
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.
Schatten's theorem on absolute Schur algebras
Jitti Rakbud,Pachara Chaisuriya 대한수학회 2008 대한수학회지 Vol.45 No.2
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(l₂) of bounded linear operators on l₂ involving the duality relation among the class of compact operators K, the trace class C₁ and B(l₂). We also study the reflexivity in such the algebras. 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(l₂) of bounded linear operators on l₂ involving the duality relation among the class of compact operators K, the trace class C₁ and B(l₂). We also study the reflexivity in such the algebras.
SCHATTEN CLASSES OF MATRICES IN A GENERALIZED B(l<sub>2</sub>)
Rakbud, Jitti,Chaisuriya, Pachara Korean Mathematical Society 2010 대한수학회지 Vol.47 No.1
In this paper, we study a generalization of the Banach space B($l_2$) of all bounded linear operators on $l_2$. 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 $l_2$.
SCHATTEN CLASSES OF MATRICES IN A GENERALIZED B(l2)
Jitti Rakbud,Pachara Chaisuriya 대한수학회 2010 대한수학회지 Vol.47 No.1
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.