Complex interpolation of compact operators mapping into lattice couples

Details Complex interpolation of compact operators mapping into lattice couples Complex interpolation of compact operators mapping into lattice couples

2008-02-24

arxiv.org/abs/0802.3520v3

Mathematics

Functional Analysis

14 pages. (Page 13 contains routine and standard material which you quite probably will not need or want to print.) The only c

Scientific paper

Suppose that (A_0,A_1) and (B_0,B_1) are Banach couples, and that T is a linear operator which maps A_0 compactly into B_0 and A_1 boundedly (or even compactly) into B_1. Does this imply that T maps [A_0,A_1]_s to [B_0,B_1]_s compactly for 0

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