## Linear Operators: Spectral theory |

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Page 1831

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matria moment problem. Doklady

Russian) Math. Rev. 11, 670 (1950). On the trace formula in perturbation theory.

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**Akad**. Nauk SSSR (N.S.) 30, 484-488 (1941). Infinite J-matrices and amatria moment problem. Doklady

**Akad**. Nauk SSSR (N.S.) 69, 125–128 (1949). (Russian) Math. Rev. 11, 670 (1950). On the trace formula in perturbation theory.

Page 1852

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49, 8–11 (1945). 4. On the decomposition of K-spaces into elementary spaces.

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**Akad**. Nauk SSSR (N.S.) 36, 227—230 (1942). 2. On normed K-spaces.Doklady

**Akad**. Nauk SSSR (N.S.) 33, 12–14 ... Doklady**Akad**. Nauk SSSR (N.S.)49, 8–11 (1945). 4. On the decomposition of K-spaces into elementary spaces.

Page 1864

Sirvint, G. (or J.) 1. Sur les transformations integrales de l'espace L. Doklady

Banachschen Räumen. Doklady

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Sirvint, G. (or J.) 1. Sur les transformations integrales de l'espace L. Doklady

**Akad**. Nauk SSSR (N. S.) 18, 255–257 (1938). 2. Schwache Kompaktheit in denBanachschen Räumen. Doklady

**Akad**. Nauk SSSR (N. S.) 28, 199–202 (1940). 3.

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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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