## Linear Operators: Spectral theory |

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Page 1832

On an inner characteristic of the set of all continuous functions defined on a

bicompact

). 2. Sur l'espace des fonctions continues définies sur un bicompact de Hausdorff

et ...

On an inner characteristic of the set of all continuous functions defined on a

bicompact

**Hausdorff space**. Doklady Akad. Nauk SSSR (N.S.) 27,427–430 (1940). 2. Sur l'espace des fonctions continues définies sur un bicompact de Hausdorff

et ...

Page 1909

I (1569) Fundamental family of neighborhoods, definition, I.4.6 (10–11)

Fundamental set, in a linear topological space, ... VI.1.1.19–29 (581–534)

Hausdorff maximality theorem, I.2.6 (6) Hausdorff 2-measure, III.9.47 (174)

I (1569) Fundamental family of neighborhoods, definition, I.4.6 (10–11)

Fundamental set, in a linear topological space, ... VI.1.1.19–29 (581–534)

Hausdorff maximality theorem, I.2.6 (6) Hausdorff 2-measure, III.9.47 (174)

**Hausdorff space**, ...Page 1914

Metrization, of a measure space, III.7.1 (158) of a regular space, I.6.19 (24) of the

set of all functions, III.2.1 (102) Milman. ... V.11.15–18 (459) Normal subgroup, (

35) Normal topological space, compact

...

Metrization, of a measure space, III.7.1 (158) of a regular space, I.6.19 (24) of the

set of all functions, III.2.1 (102) Milman. ... V.11.15–18 (459) Normal subgroup, (

35) Normal topological space, compact

**Hausdorff space**, I.5.9 (18) definition, I.5.1...

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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