Multiparameter spectral theory of a separating operator system. (English) Zbl 0724.47004
Summary: We define the spatial numerical range V[P] of the multiparameter system P(\(\lambda\)), and establish a connection between V[P] and the joint spatial numerical range of a separating operator system.
MSC:
| 47A13 | Several-variable operator theory (spectral, Fredholm, etc.) |
| 47A12 | Numerical range, numerical radius |
| 47A10 | Spectrum, resolvent |
Keywords:
Mathieu functions; multiparameter system; spatial numerical range of a separating operator systemReferences:
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