On numerical ranges and roots |
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| Authors: | Chi-Kwong Li Ilya M. Spitkovsky |
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| Affiliation: | Department of Mathematics, College of William and Mary, PO Box 8795, Williamsburg, VA 23187-8795, USA |
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| Abstract: | ![]()
Existence of the fractional powers is established in Banach algebra setting, in terms of the numerical ranges of elements involved. The behavior of the spectra and (for Hermitian ∗-algebras satisfying some additional hypotheses) the ∗-numerical range under taking these powers also is investigated. |
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| Keywords: | Root Hermitian Banach algebra Numerical range |
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