Analytic theory of subnormal operators |
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Authors: | Daoxing Xia |
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Affiliation: | (1) Department of Mathematics, Vanderbilt University, 37235 Nashville, TN, USA |
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Abstract: | LetS be a pure subnormal operator and (·) be its mosaic introduced in [13]. In this paper, the author proves that rank (z)<+ if [S*,S] is compact and rank (z)=–g(z) whereg(·) is the Pincus principal function if [S*,S] is in the trace class. Also a result is given about the form of pure and irreducible subnormal operators with finite rank self-commutators.This work is supported in part by a NSF grant. |
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