Functional Analysis (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

• 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.

Peter D. Lax is a Series Advisor for the Wiley Interscience Series in Pure and Applied Mathematics. He is a professor of mathematics at the Courant Institute, the director of the Mathematics and computing Laboratory, and was director of the Institute from 1971 to 1980.