Spectral Theories

Start reading → Chapter prime

1. Front matter
   1. Introduction
   2. Introduction
   3. Instructions for use
   4. Mode of use
2. INormed algebras
   1. Chapter prime
   2. § 1. Spectra and characters33
   3. § 2. Normed algebras28
   4. § 3. Commutative Banach algebras48
   5. § 4. Holomorphic functional calculus55
   6. § 5. Regular commutative Banach algebras16
   7. § 6. Stellar algebras94
   8. § 7. Spectrum of endomorphisms of Banach spaces24
   9. § 8. Algebras of continuous functions on a compact space11
3. IICommutative locally compact groups
   1. Chapter II
   2. § 1. Fourier transform95
   3. § 2. Classification16
   4. § 3. Invariant subspaces12
4. IIICompact linear mappings and perturbations
   1. Chapter III
   2. § 1. Compact linear mappings57
   3. § 2. Examples of compact linear mappings26
   4. § 3. Fredholm endomorphisms and riesz endomorphisms31
   5. § 4. Perturbations in Banach spaces30
   6. § 5. Perturbation by a compact linear mapping19
   7. § 6. Spectral properties of endomorphisms of Banach spaces36
5. IVHilbertian spectral theory
   1. Chapter IV
   2. § 1. Compact operators on a Hilbert space66
   3. § 2. Normal endomorphisms32
   4. § 3. Distributions and tempered distributions46
   5. § 4. Partial operators74
   6. § 5. Normal partial operators and the spectral theorem75
6. VUnitary representations
   1. Chapter V
   2. § 1. Unitary representations50
   3. § 2. Representations of locally compact groups45
   4. § 3. Functions of positive type39
   5. § 4. Representations of compact groups54
   6. Historical note