## Linear Operators, Part 2 |

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Page 853

Thus , for the reader who is familiar with the contents of

Thus , for the reader who is familiar with the contents of

**Chapters**I ...**Chapter**IX is an introduction to the much larger subject of B - algebras ...Page 887

**CHAPTER**X Bounded Normal Operators in Hilbert Space 1. Terminology and Preliminary Notions The spectral theorem to be proved in this**chapter**will introduce ...Page 1185

**CHAPTER**XII Unbounded Operators in Hilbert Space 1. Introduction In the preceding**chapter**we have seen how the spectral theory developed in**Chapters**IX and ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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additive Akad 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 Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero