A note on fractional powers of strongly positive operators and their applications. (English) Zbl 07115434
Summary: The present paper deals with fractional powers of positive operators in a Banach space. The main theorem concerns the structure of fractional powers of positive operators in fractional spaces. As applications, the structure of fractional powers of elliptic operators is studied.
MSC:
| 47H07 | Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces |
| 47F05 | General theory of partial differential operators |
| 46B70 | Interpolation between normed linear spaces |
| 26A33 | Fractional derivatives and integrals |
Keywords:
fractional powers; interpolation spaces; fractional derivatives; positive operators; elliptic operatorsReferences:
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