Vol. 21, No. 1, 1967

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ISSN: 0030-8730
Fractional powers of operators. II. Interpolation spaces

Hikosaburo Komatsu

Vol. 21 (1967), No. 1, 89–111
Abstract

This is a continuation of an earlier paper “Fractional Powers of Operators” published in this Journal concerning fractional powers AαC, of closed linear operators A in Banach spaces X such that the resolvent (λ + A)1 exists for all λ > 0 and λ(λ + A)1 is uniformly bounded. Various integral representations of fractional powers and relationship between fractional powers and interpolation spaces, due to Lions and others, of X and domain D(Aα) are investigated.

Mathematical Subject Classification
Primary: 47.50
Secondary: 46.38
Milestones
Received: 19 November 1965
Published: 1 April 1967
Authors
Hikosaburo Komatsu