C∗-algebras Generated by a Subnormal Operator

  title={C∗-algebras Generated by a Subnormal Operator},
  author={K. C. D. Chan},
Using the functional calculus for a normal operator, we provide a result for generalized Toeplitz operators, analogous to the theorem of Axler and Shields on harmonic extensions of the disc algebra. Besides that result, we prove that if T is an injective subnormal weighted shift, then any two nontrivial subspaces invariant under T cannot be orthogonal to each other. Then we show that the C∗-algebra generated by T and the identity operator contains all the compact operators as its commutator… CONTINUE READING

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