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(U+K)-Orbit Closure of Univalent Operator and Its Putnam Theorem

ZHANG Min, JI You-qing   

  1. (College of Mathematics, Jilin University, Changchun 130012, China)
  • Received:2005-10-06 Revised:1900-01-01 Online:2005-11-26 Published:2005-11-26
  • Contact: JI You-qing

Abstract: A notion referring to the univalent operator was proposed via considering a class of the analytic Toeplitz operators. Then we characterized the (U+K)-orbit closure of univalent operator and gave its (U+K)-invariant. In the end we got Putnam theorem of this kind of operators.

Key words: univalent operator, (U+K)-orbit, (U+K)-invariant

CLC Number: 

  • O177.1