## Linear Operators: Spectral theory |

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Page 1816

On a class of

Gruzin . SSR 13 , 65 – 72 ( 1952 ) . ( Russian ) Math . Rev . 14 , 990 ( 1953 ) On a

class of

SSSR ...

On a class of

**linear**equations in Hilbert spaces . Soobščeniya Akad . NaukGruzin . SSR 13 , 65 – 72 ( 1952 ) . ( Russian ) Math . Rev . 14 , 990 ( 1953 ) On a

class of

**linear**equations with symmetrizable operators . Doklady Akad . NaukSSSR ...

Page 1877

An application of Banach

Soc . 67 , 59 - 68 ( 1949 ) . Wilder , C . E . 1 . Expansion problems of ordinary

An application of Banach

**linear**functionals to summability . Trans . Amer . Math .Soc . 67 , 59 - 68 ( 1949 ) . Wilder , C . E . 1 . Expansion problems of ordinary

**linear**differential equations with auxiliary conditions at more than two points .Page 1912

14 ( 12 ) Line integral , definition , ( 225 )

functional , ( 38 ) . ( See also Functional )

Manifold )

normed , II . 3 .

14 ( 12 ) Line integral , definition , ( 225 )

**Linear**dimension , ( 91 )**Linear**functional , ( 38 ) . ( See also Functional )

**Linear**manifold , ( 36 ) . ( See alsoManifold )

**Linear**operator , ( 36 ) . ( See also Bspace )**Linear**space , 1 . 11normed , II . 3 .

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### Contents

IX | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Compact Groups | 945 |

Copyright | |

46 other sections not shown

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### Common terms and phrases

additive adjoint operator algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently consider constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero