DUAL OPERATOR ALGEBRAS AND HEREDITARY PROPERTIES OF ISOMETRIC DILATIONS AND COISOMETRIC EXTENSIONS

  • Mi Kyung Jang (Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea) ;
  • Young Soo Jo (Department of Mathematics, Keimyung University, Taegu 704-701, Korea)
  • Published : 1996.10.01

Abstract

We discuss contraction operators T in the class A, where A is the class of absolutely continuus contractions for which the Sz.-Nagy-Foias functional calculus is isometry. We obtain relationship between the class $A_{n, \aleph_0}$ and hereditary property $(\tilde{P}_n)$.

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