Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589918 | Journal of Functional Analysis | 2015 | 21 Pages |
Abstract
Let a linear operator T act compactly from a Banach couple Xâ:=(X0,X1) in a Banach lattice couple Bâ:=(B0,B1). If both Bi have absolutely continuous norm, then any interpolation functor F preserves two-sided compactness of T. The same holds if only one of Bi satisfies the above condition and F is a quasipower regular functor. The similar results are true for operators acting from Bâ in Xâ under the above formulated assumptions for simultaneously Bâ and its dual Bââ².
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yu. Brudnyi,