## Linear Operators: Spectral theory |

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Results 1-3 of 18

Page 1904

(See also Conver hull, Conver set, Conver space) Convex function, definition, VI.

10.1 (520) study of, VI.10 Convex hull, W.2.2 (414)

definition, V.1.1 (410) study of, V.1–2 Convex space, locally, V.2.9 (417), (471)

strictly, ...

(See also Conver hull, Conver set, Conver space) Convex function, definition, VI.

10.1 (520) study of, VI.10 Convex hull, W.2.2 (414)

**Convex set**, II.4.1 (70)definition, V.1.1 (410) study of, V.1–2 Convex space, locally, V.2.9 (417), (471)

strictly, ...

Page 1911

... III.12.10–12 (219– 222), IV.13C, IV.14 Kodaira theorem, XIII.2.26 (1302) Krein-

Milman theorem, on extremal points, V.8.4 (440) Krein-Smulian theorem, on

convex closure of a weakly compact set, V.6.4 (434) on 3 closed

, ...

... III.12.10–12 (219– 222), IV.13C, IV.14 Kodaira theorem, XIII.2.26 (1302) Krein-

Milman theorem, on extremal points, V.8.4 (440) Krein-Smulian theorem, on

convex closure of a weakly compact set, V.6.4 (434) on 3 closed

**convex sets**in 3", ...

Page 1912

of £" in the bounded 3 topology, V.5.5 (428) separation of

13 (417–418) Lower bound for an operator, XII.5.1 (1240) M Manifold, closed

linear, spanned by a set, II.1.4 (50) in a linear space, (36). (See also Linear ...

of £" in the bounded 3 topology, V.5.5 (428) separation of

**convex sets**in, W.2.10–13 (417–418) Lower bound for an operator, XII.5.1 (1240) M Manifold, closed

linear, spanned by a set, II.1.4 (50) in a linear space, (36). (See also Linear ...

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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