Trace formulas for a class of subnormal tuples of operators |
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Authors: | Daoxing Xia |
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Institution: | (1) Department of Mathematics, Vanderbilt University, 37240 Nashville, TN, USA |
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Abstract: | Trace formulas are established for the product of commutators related to subnormal tuple of operators (S
1,...,S
n
) with minimal normal extension (N
1,...,N
n
) satisfying conditions that sp(S
j
)/sp(N
j
) is simply-connected with smooth boundary Jordan curve sp(N
i
) and S
j
*
,S
j
]1/2 L
1,j=1, 2,...,n.Some complete unitary invariants related to the trace formulas are found.This work is supported in part by NSF Grant no. DMS-9101268. |
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Keywords: | Primary 47B20 |
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