## Linear Operators: Spectral theory |

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Page 1797

Ann. of Math. (2) 42,839–873 (1941). 3. Symmetric transformations in Hilbert

space. Duke J. Math. 7, 504-508 (1940). Cameron, R. H. 1. A “Simpson's Rule”

for the numerical evaluation of Wiener's integrals in function space.

18 ...

Ann. of Math. (2) 42,839–873 (1941). 3. Symmetric transformations in Hilbert

space. Duke J. Math. 7, 504-508 (1940). Cameron, R. H. 1. A “Simpson's Rule”

for the numerical evaluation of Wiener's integrals in function space.

**Duke Math**. J.18 ...

Page 1827

Math. Soc. 72, 323–326 (1952). 3. The Tychonoff product theorem implies the

ariom of choice. Fund. Math. 37, 75–76 (1950). 4. Convergence in topology.

York, ...

Math. Soc. 72, 323–326 (1952). 3. The Tychonoff product theorem implies the

ariom of choice. Fund. Math. 37, 75–76 (1950). 4. Convergence in topology.

**Duke Math**. J. 17, 277–283 (1950). 5. General topology. D. van Nostrand, NewYork, ...

Page 1851

Amer. Math. Soc. Colloquium Pub. no. 19, New York, 1934. Paley, R. E. A. C.,

Wiener, N., and Zygmund, A. 1. Notes on random functions. Math. Zeit. 37, 647–

668 (1933). Parker, W. W. 1. Limits to the characteristic roots of a matria.

Amer. Math. Soc. Colloquium Pub. no. 19, New York, 1934. Paley, R. E. A. C.,

Wiener, N., and Zygmund, A. 1. Notes on random functions. Math. Zeit. 37, 647–

668 (1933). Parker, W. W. 1. Limits to the characteristic roots of a matria.

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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