## Linear Operators: Self Adjoint Operators in Hilbert Space. Spectral theory. Part II |

### From inside the book

Results 1-3 of 87

Page 1902

C ( 1003 ) Cluster point , of a set , 1.7.8 ( 29 ) Commutator of two operators ,

properties of , VI.9.30–35 ( 515 )

VI.5 ...

C ( 1003 ) Cluster point , of a set , 1.7.8 ( 29 ) Commutator of two operators ,

**definition**, X.9 ( 934 ) Compact operator , in C , VI.9.45 ( 516 ) criteria for andproperties of , VI.9.30–35 ( 515 )

**definition**, V1.5.1 ( 485 ) elementary properties ,VI.5 ...

Page 1907

Egoroff theorem , on almost everywhere and u - uniform convergence , II1.6.12 (

149 ) Eigenvalue ,

Eigenvector ,

space ...

Egoroff theorem , on almost everywhere and u - uniform convergence , II1.6.12 (

149 ) Eigenvalue ,

**definition**, VII.1.2 ( 556 ) , VII.11 ( 606 ) , X.3.1 ( 902 )Eigenvector ,

**definition**, VII.1.2 ( 556 ) , X.3.1 ( 903 ) Embedding , natural , of a B -space ...

Page 1921

space,

algebras, 1.12.1 (41), (44) -Weierstrass theorem, 1\'.6.16 (272) complex case, 1V.

6.17 (274) remarks on, (883-385) Strictly convex B-space,

...

space,

**definition**, (898) theorems on representation of Boolean rings andalgebras, 1.12.1 (41), (44) -Weierstrass theorem, 1\'.6.16 (272) complex case, 1V.

6.17 (274) remarks on, (883-385) Strictly convex B-space,

**definition**, V11.7 (458)...

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Preliminary Notions | 865 |

Copyright | |

61 other sections not shown

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### Common terms and phrases

additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex 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 matrix measure multiplicity Nauk 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