## Linear Operators: General theory |

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Page 195

Indeed , according to Tonelli's theorem , both these

that the product of measures is commutative . ) Generalizing this statement , and

...

Indeed , according to Tonelli's theorem , both these

**integrals**are equal to the**integral**off with respect to the product measure ( and we have already remarkedthat the product of measures is commutative . ) Generalizing this statement , and

...

Page 227

Let f be analytic in V - A . Then the second form of Cauchy's

states : If we agree to orient the Jordan curves ... and is independent of any

particular choice of the neighborhood U of A. In other words , the

SB , are ...

Let f be analytic in V - A . Then the second form of Cauchy's

**integral**theoremstates : If we agree to orient the Jordan curves ... and is independent of any

particular choice of the neighborhood U of A. In other words , the

**integrals**Se andSB , are ...

Page 743

On the existence certain singu

the numerical evaluation of Wiener's

18 , 111-130 ( 1951 ) . 2. The first variation of an indefinite Wiener

On the existence certain singu

**integrals**. Acta Math . ... A " Simpson's Rule ” forthe numerical evaluation of Wiener's

**integrals**in function space . Duke Math . J.18 , 111-130 ( 1951 ) . 2. The first variation of an indefinite Wiener

**integral**. Proc .### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex condition contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math meaning measure space metric neighborhood norm operator positive measure problem Proc proof properties proved respect Russian satisfies scalar seen separable sequence set function Show shown sphere statement subset sufficient Suppose Theorem theory topological space topology transformations u-measurable uniform uniformly unique unit valued vector weak weakly compact zero