On subdiagonal algebras associated with flows in operator algebras

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概要

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• The noncommutative Hardy spaces H∞(α) and H1(α) are introduced with respect to a σ-weakly continuous flow α={αt} of *-automorphisms of a von Neumann algebra. In case that the algebra is α-finite the algebra H∞(α) becomes a maximal subdiagonal algebra. The concept of C*-subdiagonal algebras will also be given for C*-algebras as a noncommutative counterpart of the algebras of generalized analytic functions. Examples of maximal C*-subdiagonal algebras and their structures are discussed.

• 社団法人 日本数学会の論文

著者

• Tomiyama Jun

  Department Of Communications And Integrated Systems Tokyo Institute Of Technology

• KAWAMURA Shinzô

  Department of Mathematics Faculty of Science Yamagata University

• TOMIYAMA Jun

  Department of Mathematics Faculty of Science Yamagata University

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