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Cartesian form of Putnam’s inequality for doubly commuting hyponormal \(n\)-tuples. (English) Zbl 0982.47021
The authors give some Cartesian form of Putnam’s inequality bounded by the area of the joint approximate point spectra for doubly commuting hyponormal \(n\)-tuples by using the inequality bounded by the area of the Xia spectra for semi-hyponormal \(n\)-tuples of operators given by Xia and give also some relation between the Taylor and Xia spectra of such \(n\)-tuples.

MSC:
47B20 Subnormal operators, hyponormal operators, etc.
47A13 Several-variable operator theory (spectral, Fredholm, etc.)
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