Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672975 | Indagationes Mathematicae | 2014 | 10 Pages |
Abstract
Let EE be a Banach lattice and FF a Banach space. A bounded linear operator T:E→FT:E→F is an isomorphism on the positive cone of EE if and only if T∗T∗ is almost surjective. A dual version of this theorem holds also. A bounded linear operator T:F→ET:F→E is almost surjective if and only if T∗T∗ is an isomorphism on the positive cone of F∗F∗.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Anton R. Schep,