## Linear Operators: Spectral theory |

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Page 1749

Let V . ( x ) be an m -

differentiable there . Then there exists a unique m -

) , defined and infinitely often differentiable in En + 1 , such that j = 1 ( a ) V ( x ; 8 )

...

Let V . ( x ) be an m -

**vector**valued function defined in En and infinitely oftendifferentiable there . Then there exists a unique m -

**vector**valued function V ( x ; s) , defined and infinitely often differentiable in En + 1 , such that j = 1 ( a ) V ( x ; 8 )

...

Page 1837

Bicontinuous linear transformations in certain

Soc . 45 , 564 - 569 ( 1939 ) . On a calculus of operators in reflexive

spaces . Trans . Amer . Math . Soc . 45 , 217 - 234 ( 1939 ) . 3 . The Cauchy -

Schwarz ...

Bicontinuous linear transformations in certain

**vector**spaces . Bull . Amer . Math .Soc . 45 , 564 - 569 ( 1939 ) . On a calculus of operators in reflexive

**vector**spaces . Trans . Amer . Math . Soc . 45 , 217 - 234 ( 1939 ) . 3 . The Cauchy -

Schwarz ...

Page 1849

On the one - dimensional translation group and semi - group in certain function

spaces . Dissertation , University of Uppsala ( 1950 ) . Math . Rev . 12 , 108 (

1951 ) . Ogasawara , T . 1 . Compact metric Boolean algebras and

On the one - dimensional translation group and semi - group in certain function

spaces . Dissertation , University of Uppsala ( 1950 ) . Math . Rev . 12 , 108 (

1951 ) . Ogasawara , T . 1 . Compact metric Boolean algebras and

**vector**lattices .### What people are saying - Write a review

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### Contents

IX | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Compact Groups | 945 |

Copyright | |

46 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

### 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