Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.
* Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.
* Includes an appendix on the Riesz representation theorem.
Designed for a two-semester course at the graduate level, this text describes the theory and applications of functional analysis. In 38 short chapters, Lax (emeritus, mathematics, New York U.) addresses such topics as Banach spaces, weak sequential topologies, the Krein- Milman theorem, the Fredholm determinant, and scattering theory. Included in the appendices are a functional analytic proof of the Riesz-Kakutani representation theorem and an outline of the theory of distributions. Annotation c. Book News, Inc., Portland, OR (booknews.com)