The paper characterizes Cartan isometries and Toeplitz operators on all classical Cartan domains by simple equations involving the Jordan triple determinant.
Athavale,On the duals of subnormal tuples, Integral Equations Operator Theory,12(1989), 305-323
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Cartan Isometries and Toeplitz Operators on Cartan domains
The paper characterizes Cartan isometries and Toeplitz operators on all classical Cartan domains by simple equations involving the Jordan triple determinant.