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A functional calculus for subnormal operators. II

About this Title

John B. Conway and Robert F. Olin

Publication: Memoirs of the American Mathematical Society
Publication Year: 1977; Volume 10, Number 184
ISBNs: 978-0-8218-2184-8 (print); 978-1-4704-0050-7 (online)
DOI: https://doi.org/10.1090/memo/0184
MathSciNet review: 0435913

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Table of Contents

Chapters

  • I. Notation and preliminaries
  • II. Lifting of elements in the algebra generated by a subnormal operator
  • III. A decomposition of the weak star closed subalgebras of $L^\infty (\mu )$
  • IV. The weak star closure of the polynomials: A refinement of a result of D. Sarason
  • V. The equivalence of an approximation problem and a minimal normal extension problem
  • VI. The solution of the minimal normal extension problem
  • VII. A decomposition of subnormal operators
  • VIII. The spectral theory of $f(S)$ for $f$ in $P^\infty (\mu )$
  • IX. The nonreducing invariant subspaces of a normal operator
  • X. Miscellaneous remarks and unsolved problems