## Linear Operators, Part 2 |

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Page 891

scalar

scalar

**function**with respect to the operator valued set**function**E. In the present chapter we shall only integrate bounded**functions**| and so the following ...Page 1645

Which non - differentiable

Which non - differentiable

**functions**? ... for every**function**, differentiable or not , and irrespective of whether Oc Ort belongs to L2 ( E ? ) or not .Page 1922

Total space of functionals , definition , V.3.1 ( 418 ) Total variation of a

Total space of functionals , definition , V.3.1 ( 418 ) Total variation of a

**function**, III.5.15 ( 140 ) of a set**function**, III.1.4 ( 97 ) .### 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