# SINGLY GENERATED DUAL OPERATOR ALGEBRAS WITH PROPERTIES ($\mathbb{A}_{m,n}$)

• Choi, Kun-Wook (Department of Mathematics, College of Natural Sciences, Kyungpook National University) ;
• Jung, Il-Bong (Department of Mathematics, College of Natural Sciences, Kyungpook National University) ;
• Lee, Sang-Hun (Department of Mathematics, College of Natural Sciences, Kyungpook National University)
• Published : 1998.11.01

#### Abstract

We discuss dual algebras generated by a contraction and properties $({\mathbb}A_{m,n})$ 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 ${\mathbb}A_1,{{\aleph}_0 }$. As some examples we consider dual algebras generated by a Jordan block.