## Linear Operators: General theory |

### From inside the book

Results 1-3 of 86

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**of / with respect to the product measure (and we have already remarkedthat the product of measures is commutative.) Generalizing this statement, and ...

Page 227

Let / be analytic in V—A. Then the second form of Cauchy's

states: // we agree to orient the Jordan curves comprising B in the positive sense

customary in the theory of complex variables, then J"B/(a)doc depends only on

the ...

Let / be analytic in V—A. Then the second form of Cauchy's

**integral**theoremstates: // we agree to orient the Jordan curves comprising B in the positive sense

customary in the theory of complex variables, then J"B/(a)doc depends only on

the ...

Page 743

Duke J. Math. 7, 504-508 (1940). Cameron, R. H. 1. A "Simpson's Rule" for the

numerical evaluation of Wiener's

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

Duke J. Math. 7, 504-508 (1940). Cameron, R. H. 1. 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. Amer.### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

79 other sections not shown

### Other editions - View all

### Common terms and phrases

a-field Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence closed linear manifold compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive Definition denote dense differential equations Doklady Akad element equivalent everywhere exists extended real valued extension fi(E finite dimensional finite number function f Hausdorff space Hence Hilbert space homeomorphism inequality integral interval Lebesgue measure Lemma linear functional linear map linear operator linear topological space LP(S measurable function measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space null set open set operator topology positive measure space Proc Proof properties proved real numbers Russian scalar semi-group sequentially compact Show simple functions subset subspace Suppose theory topological space uniformly unique v(fi valued function Vber vector valued weakly compact zero