FIRST COURSE IN FUNCTIONAL ANALYSIS

Από τον πρόλογο του βιβλίου:

"Our view is that analysis itself is basic and that the abstract theories to which it leads are primarily of interest as tools which may be used in treating problems in analysis. This includes the theories of metric spaces, compactness and lower semicontinuality, normed vector spaces, Hilbert spaces, ordered vector spaces, Banach algebras. etc. Thus, we consider the abstract theories themselves only in part and then indicate their roles in analysis by giving various applications. In this regard, many important applications have not been considered because they are too complicated to be treated in an introductory study."