Algebras generated by a subnormal operator

Authors:
Robert F. Olin and James E. Thomson

Journal:
Trans. Amer. Math. Soc. **271** (1982), 299-311

MSC:
Primary 47D25; Secondary 47B20

DOI:
https://doi.org/10.1090/S0002-9947-1982-0648094-6

MathSciNet review:
648094

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Abstract: We use the notion of generalized Toeplitz operators to obtain some basic results concerning the -algebra generated by a subnormal operator. We apply these results to problems concerning the intersection of with rationally closed algebras generated by . In particular, we prove that . The spectral inclusion property for generalized Toeplitz operators with symbols in is also considered.

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DOI:
https://doi.org/10.1090/S0002-9947-1982-0648094-6

Article copyright:
© Copyright 1982
American Mathematical Society