Wilansky A. Functional analysis

New York ; Toronto ; London: Blaisdell Publishing Company, 1964. — 292 p.This book is written to serve us a senior beginning graduate text. Although the student should not except to learn the value of a subject at the time that be is learning the subject itself we have tried to give, in problems and examples, some of the applications of functional analysis. Approximately 2000 problems, most of them quite easy, allow the book to be used as a problem course for independent study.Introduction. Linear space. Separation. Paranorms and seminorms. Semimetric space. Linear semimetric space. Banach space. Hilbert space. Topology and nets. Linear topology. The closed graph theorem. Local convexity. Duality. Banach algebra. Appendix. Glossary. Index. Table.