Linear Functional Analysis (Springer Undergraduate Mathematics Series)

von Bryan P. Rynne Kategorie: Funktionalanalysis ISBN: 1852332573 Kommentar abgeben

Kurztext Englisch In contrast to other titles at this level, this functional analysis textbook concentrates on operator theory Includes numerous exercises, all with solutions.

Synopsis Providing an introduction to the ideas and methods of linear functional analysis, this book shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. In the initial chapters, the theory of infinite-dimensional normed spaces (in particular Hilbert spaces) is developed, while in later chapters the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas...