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Fractional Powers of Linear Operators and Complex Interpolation

✍ Scribed by M. J. Carro; Joan Cerdà

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
332 KB
Volume
151
Category
Article
ISSN
0025-584X

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## Abstract In this paper we study linear fractional relations defined in the following way. Let ℋ︁~__i__~ and ℋ︁~__i__~ ^′^, __i__ = 1, 2, be Hilbert spaces. We denote the space of bounded linear operators acting from ℋ︁~__j__~ to ℋ︁~__i__~ ^′^ by __L__ (ℋ︁~__j__~ , ℋ︁~__i__~ ^′^). Let __T__ ∈