Linear operators. Part I: General theory. With the assistance of William G. Bade and Robert G. Bartle. Repr. of the orig., publ. 1959 by John Wiley & Sons Ltd., Paperback ed. (English) Zbl 0635.47001

Dunford, Nelson; Schwartz, Jacob T.

Wiley Classics Library. New York etc.: John Wiley & Sons Ltd. xiv, 858 p. $ 25.95 (1988).

For a review on the original edition see Zbl 0084.104.

MSC:

47-02	Research exposition (monographs, survey articles) pertaining to operator theory
47A60	Functional calculus for linear operators
47A10	Spectrum, resolvent
46G10	Vector-valued measures and integration
47A05	General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47D03	Groups and semigroups of linear operators
28A15	Abstract differentiation theory, differentiation of set functions
47A35	Ergodic theory of linear operators
28B05	Vector-valued set functions, measures and integrals
47B06	Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
46A04	Locally convex Fréchet spaces and (DF)-spaces
46A55	Convex sets in topological linear spaces; Choquet theory
46B03	Isomorphic theory (including renorming) of Banach spaces
47H10	Fixed-point theorems

Keywords:

integration of vector valued functions; Banach-Steinhaus theorem; Lp- space; Radon-Nikodym theorem; open mapping; closed graph; finitely additive set function; convex sets; Krein-Milman theorem; extreme point; F-space; Brower’s fixed points theorem; bounded operator; compact operator; spectral theory of linear operators in B-space; functional calculus; semi-groups of operators; uniform ergodic theory

Citations:

Zbl 0084.104