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Fractional powers of operators defined on a Fréchet space

Fractional powers of operators defined on a Fréchet space

The problem of finding a suitable representation for a fractional power of an operator defined in a Banach space X has, in recent years, attracted much attention. In particular, Balakrishnan [1], Hovel and Westphal [3] and Komatsu [4] have examined the problem of defining the fractionalpower (– A ) α …