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Functional Analysis(English, Hardcover, Lax Peter D.) is written by Lax Peter D. and published by John Wiley & Sons Inc. It's available with International Standard Book Number or ISBN identification 0471556041 (ISBN 10) and 9780471556046 (ISBN 13).
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.