Synopsis
I. Riesz projections and functional calculus.- II. Eigenvalues of finite type.- III. Analytic equivalence.- IV. Linear operator pencils.- V. Spectral theory for bounded selfadjoint operators.- VI. Singular values of compact operators.- VII. Trace and determinant.- VIII. Hilbert-Schmidt operators.- IX. Integral operators with semi-separable kernels.- X. The growth of the resolvent operator and applications to completeness.- XI. Fredholm operators.- XII. Wiener-Hopf integral operators.- XIII. Wiener-Hopf integral operators with rational symbols.- XIV. Unbounded linear operators.- XV. Functional calculus for unbounded operators.- XVI. Unbounded selfadjoint operators.- XVII. Unbounded Fredholm operators and perturbation theorems.- XVIII. A class of ordinary differential operators on a half line.- XIX. Strongly continuous semigroups.- Standard references texts.- List of symbols.
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