Saks spaces and applications to functional analysis [E-Book] / J.B. Cooper.
Cooper, James Bell.
2nd, rev. ed.
Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; 1987
Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1 online resource (ix, 372 p.)
englisch
9780444702197
0444702199
North-Holland mathematics studies ; 139
Notas de matematica; 116
Full Text
The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated. The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.