Positive operators. (English) Zbl 1202.47042
Johnson, W.B. (ed.) et al., Handbook of the geometry of Banach spaces. Volume 1. Amsterdam: Elsevier (ISBN 0-444-82842-7/hbk). 85-122 (2001).
This handbook article presents a survey of the theory of positive operators. It is divided into the following sections: 1. Ordered vector spaces and Banach lattices. 2. Operators between Banach lattices. 3. When is every continuous operator regular? 4. Domination, compactness, and factorization. 5. Invariant subspaces of positive operators. 6. Compact-friendly operators and invariant subspaces. 7. Integral operators and invariant subspaces. 8. Applications.
For the entire collection see [Zbl 0970.46001].
For the entire collection see [Zbl 0970.46001].
MSC:
47B65 | Positive linear operators and order-bounded operators |
46B42 | Banach lattices |
47-02 | Research exposition (monographs, survey articles) pertaining to operator theory |