## Linear Operators, Part 2 |

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Page 1749

Let V. ( x ) be an m -

Let V. ( x ) be an m -

**vector**valued function defined in E " and infinitely often differentiable there . Then there exists a unique m -**vector**valued ...Page 1837

Bicontinuous linear transformations in certain

Bicontinuous linear transformations in certain

**vector**spaces . Bull . Amer . Math . Soc . 45 , 564-569 ( 1939 ) . 2 . On a calculus of operators in ...Page 1849

Compact metric Boolean algebras and

Compact metric Boolean algebras and

**vector**lattices . J. Sci . Hirosima Univ . Ser . A. 11 , 125–128 ( 1942 ) . 2 . On Fréchet lattices , I. J. Sci .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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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 neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero