## Linear Operators: General theory |

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Page 195

Indeed , according to Tonelli's theorem , both these

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 remarked that the product of measures is commutative . ) Generalizing this statement ...Page 227

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

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

**integral**theorem states : If we agree to orient the Jordan ... and is independent of any particular choice of the neighborhood U of A. In other words , the**integrals**Se and SB ...Page 743

A “ Simpson's Rule ” for the numerical evaluation of Wiener's

A “ Simpson's Rule ” for the 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

B Topological Preliminaries | 10 |

quences | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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Acad 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 semi-group 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