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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.
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참고문헌 (5)
참고문헌 신청
J. Rakbud / 2005 / Classes of infinite matrices over Banach algebras / Journal of Mathematical Analysis and Applications 3 (1) : 31 ~ 46
L. Livshits / 2001 / Banach space duality of absolute Schur algebras / Integral Equations Operator Theory 41 (3) : 343 ~ 359
N. Dunford / 1958 / Linear Operators. I. General Theory In: Pure and Applied Mathematics, Vol. 7 / Interscience Publishers, Inc.
P. Chaisuriya / 1999 / Absolute Schur algebras and unbounded matrices / SIAM Journal on Matrix Analysis and Applications 20 (3) : 596 ~ 605
R. E. Megginson / 1998 / An Introduction to Banach Space Theory, Graduate Texts in Mathematics / Springer-Verlag : 183 ~
L. Livshits / 2001 / Banach space duality of absolute Schur algebras / Integral Equations Operator Theory 41 (3) : 343 ~ 359
N. Dunford / 1958 / Linear Operators. I. General Theory In: Pure and Applied Mathematics, Vol. 7 / Interscience Publishers, Inc.
P. Chaisuriya / 1999 / Absolute Schur algebras and unbounded matrices / SIAM Journal on Matrix Analysis and Applications 20 (3) : 596 ~ 605
R. E. Megginson / 1998 / An Introduction to Banach Space Theory, Graduate Texts in Mathematics / Springer-Verlag : 183 ~
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