## Linear Operators: Spectral theory |

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Page 857

**SPECTRAL**OPERATORS XV .**Spectral**Operators XVI .**Spectral**Operators : Sufficient Conditions XVII . Algebras of**Spectral**Operators XVIII . Unbounded**Spectral**Operators XIX . Perturbations of**Spectral**Operators with Discrete**Spectra**XX .Page 858

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79 ) , where the relation of the

79 ) , where the relation of the

**spectra**of A and its minimal normal extension and other questions are investigated . Halmos ( 9 ) also considers the relation of the**spectra**. The**spectral**sets of von Neumann .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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additive adjoint operator algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero