Representation of complex powers of \(C\)-sectorial operators. (English) Zbl 1318.47056
The authors present some results on representation of fractional powers of a closed linear operator \(A\) for which \(-A\) generates an equicontinuous \((g_{\alpha},C)\)-regularized resolvent family \((S_{\alpha}(t))_{t\geq 0}\) for some \(\alpha\in (0,2]\), on a Hausdorff sequentially complete locally convex space over the field of complex numbers.
Reviewer: Rodica Luca (Iaşi)
MSC:
| 47D06 | One-parameter semigroups and linear evolution equations |
| 47D60 | \(C\)-semigroups, regularized semigroups |
| 47D62 | Integrated semigroups |
Keywords:
\((g {\alpha}, C)\)-regularized resolvent families; representation of powers; \(C\)-sectorial operatorsReferences:
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