Positive operators. Reprint of the 1985 original. (English) Zbl 1098.47001

Aliprantis, Charalambos D.; Burkinshaw, Owen

Berlin: Springer (ISBN 1-4020-5007-0/hbk). xix, 376 p. (2006).

From the Foreword: This monograph is a reprint of our original book [”Positive operators” (Pure and Applied Mathematics 119, Academic Press, Orlando etc.) (1985; Zbl 0608.47039)]. With the exception of correcting several misprints and a few mathematical errors, this edition of the book is identical to the original one.
At the end of the book, we have listed a collection of monographs that were published after its 1985 publication that contain material and new developments related to the subject matter of this book.

MSC:

47-02	Research exposition (monographs, survey articles) pertaining to operator theory
47B65	Positive linear operators and order-bounded operators
47B60	Linear operators on ordered spaces
46A40	Ordered topological linear spaces, vector lattices
46B42	Banach lattices

Keywords:

order bounded operators on Riesz spaces and Banach lattices; compactness; extension properties of positive operators; order projections; positive linear functionals; orthomorphisms; locally convex-solid Riesz spaces; order continuous norms; Dunford-Pettis operators

Citations:

Zbl 0608.47039