## Linear Operators: Spectral theory |

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Results 1-3 of 13

Page 1899

... (582)

3.7 (61) representation for special spaces, IV.15 a.e. (See Almost everywhere)

Affine mapping, definition, (456) fixed points of, V.10.6 (456) Alexandroff theorem,

...

... (582)

**weakly compact**operator, VI.4.7–8 (484-485) Adjoint space, definition, II.3.7 (61) representation for special spaces, IV.15 a.e. (See Almost everywhere)

Affine mapping, definition, (456) fixed points of, V.10.6 (456) Alexandroff theorem,

...

Page 1915

topologies, VI.1 bounded strong, VI.9.9 (512) bounded weak, VI.9.7–10 (512)

continuous linear functionals VI.1.4 (477) properties, VI.9.1–12 (511–518)

remarks on, ...

**weakly compact**, definition, VI.4.1 (482) study of, VI.4 zero, (37) Operatortopologies, VI.1 bounded strong, VI.9.9 (512) bounded weak, VI.9.7–10 (512)

continuous linear functionals VI.1.4 (477) properties, VI.9.1–12 (511–518)

remarks on, ...

Page 1923

(150), III.9.45, IV.10.9 (325) covering theorem, III.12.2 (212) W Weak Cauchy

sequence, criteria for in special spaces, ... VI.9.1–12 (511–518) weak* topology, (

462)

(150), III.9.45, IV.10.9 (325) covering theorem, III.12.2 (212) W Weak Cauchy

sequence, criteria for in special spaces, ... VI.9.1–12 (511–518) weak* topology, (

462)

**Weakly compact**operator, in C, VI.7.1 (490), VI.7.3–6 (498–496) definition, ...### What people are saying - Write a review

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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