cover image of Functional Analysis

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  • 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.
  • Functional Analysis