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ISOMETRIC ISOMORPHISMS OF TRIANGULAR BANACH ALGEBRAS

ISOMETRIC ISOMORPHISMS OF TRIANGULAR BANACH ALGEBRAS
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摘要 Let A and B be Banach algebras.Let M be a Banach A,B module with bounded 1.Then T=AM 0B is a Banach algebra with the usual operations and the norm AM 0B=‖A‖+‖M‖+‖B‖.Such an algebra is called a triangular Banach algebra.In this paper the isometric isomorphisms of triangular Banach algebras are characterized. Let A and B be Banach algebras.Let M be a Banach A,B module with bounded 1.Then T=AM 0B is a Banach algebra with the usual operations and the norm AM 0B=‖A‖+‖M‖+‖B‖.Such an algebra is called a triangular Banach algebra.In this paper the isometric isomorphisms of triangular Banach algebras are characterized.
机构地区 Dept.ofMath. Dept.ofMath.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2000年第4期403-408,共6页 高校应用数学学报(英文版)(B辑)
关键词 Triangualr Banach algebras isometric isomorphisms. Triangualr Banach algebras,isometric isomorphisms.
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参考文献5

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