A theoretical investigation of S-Numerical Range with the respect to a family of projections

Wlat Hamad, Botin Ibrahim · ZANCO Journal of Pure and Applied Sciences · 2022

The idea of the -numerical range of a bounded linear operator on a complex Hilbert space with respect to a family of projections is introduced in this study. We provide a detailed description and discuss its relationship to the -numerical range and generalizations such as product S-numerical range. The significance of this new concept comes from its unifying character.

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