Functional Analysis
Peter D. LaxIt is meant as a text, with short chapters in accordance with the author's belief that it is easier to digest this material in small chunks. The first 25 chapters make only modest technical demand on the reader and would serve well as a text for an introductory graduate course on functional analysis. The rest of the book is well suited for a more advanced graduate course on functional analysis in general, or in Hilbert space in particular.
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.
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