Singly generated dual operator algebras with properties $({\mathbb A}_{m,n})$
Bull. Korean Math. Soc. 1998 Vol. 35, No. 4, 727-737
Kun Wook Choi, Il Bong Jung, and Sang Hun Lee
Kyungpook National University, Kyungpook National University, Kyungpook National University
Abstract : We discuss dual algebras generated by a contraction and properties $({\Bbb A}_{m,n})$ which arise in the study of the problem of solving systems of the predual of a dual algebra. In particular, we study membership for the class ${\Bbb A}_{1, \aleph_0}$. As some examples we consider dual algebras generated by a Jordan block.
Keywords : dual algebras, invariant subspaces, Jordan blocks
MSC numbers : 47D27
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