## Linear Operators: Spectral theory |

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Technical Report no. 8 to the Office of Ordinance Research,

Berkeley (1955). Cafiero, F. 1. Criteri di compattezza per le successioni di

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Technical Report no. 8 to the Office of Ordinance Research,

**Univ**. of California,Berkeley (1955). Cafiero, F. 1. Criteri di compattezza per le successioni di

funzioni generalmente a variazione limitata, I, II. I. Atti Accad. Naz. Lincei. Rend.

Cl.Sci.

Page 1826

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**Univ**. Tokyo Sect. I.6, 145–226 (1951). 3. Perturbation theory of semi-bounded operators. Math. Ann.

125, 435–447 (1953). 4. On the perturbation theory of closed linear operators.

Page 1849

Dissertation,

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Hirosima

Hirosima

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**University**of Uppsala (1950). Math. Rev. 12, 108 (1951).Ogasawara, T. 1. Compact metric Boolean algebras and vector lattices. J. Sci.

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**Univ**. Ser. A. 11, 125–128 (1942). 2. On Fréchet lattices, I. J. Sci.Hirosima

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

34 other sections not shown

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### Common terms and phrases

additive Akad algebra Amer analytic applied assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complete 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 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