Introduction to operator theory in Riesz spaces
By: Adriaan C. Zaanen.
Publisher: Springer
Published: 1997
Place of publication: Berlin; New York
Language: eng
Number of pages: 312
Subjects: Riesz spaces.; Operator theory.
Description: The book deals with the structure of vector lattices, i.e, Riesz spaces, and Banach lattices, as well as with operators in these spaces. The methods used are kept as simple as possible.

Almost no prior knowledge of functional analysis is required. For most applications some familiarity with the ordinary Lebesque integral is already sufficient. In this respect the book differs from other books on the subject. In most books on functional analysis (even excellent ones) Riesz spaces. Banach lattices and positive operators are mentioned only briefly, or even not at all.

The present book shows how these subjects can be treated without undue extra effort. Many of the results in the book were not yet known thirty years ago; some even were not known ten years ago.
Notes: Includes index.