On Interpolation of Compact-Operators
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Publication date
1989
Authors
Fernández, Dicesar L.
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Inst Mittag Leffler
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Abstract
The authors extend a result of K. Hayakawa [J. Math. Soc. Jap. 21, 189-199 (1969; Zbl 0181.137)], and prove: If T is a linear operator such that T: A0 ! B0, is bounded,and T: A1 ! B1 is compact, and moreover, A1 A0, then T: ¯ A,q ! ¯B,q is compact for 0 < < 1, 0 < q 1.