## Linear Operators: General theory |

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Page 542

For the spaces C and Ly , concrete

For the spaces C and Ly , concrete

**representations**were given in Sections 7-8 . For the convenience of the reader , we have tabulated here references to the literature where such**representation**theorems are explicitly stated .Page 552

A question related to the

A question related to the

**representation**of linear operators is that dealing with the**representation**of linear functions defined on certain spaces with values in a B - space . Gowurin gave a**representation**for the general bounded linear ...Page 733

Math . Soc . 52 , 931-935 ( 1946 ) . 3.

Math . Soc . 52 , 931-935 ( 1946 ) . 3.

**Representation**of functionals by integrals . Duke Math . J. 17 , 499–506 ( 1950 ) . 4. Approximation in , and**representation**of , certain Banach algebras . Amer . J. Math . 71 , 763–790 ( 1949 ) .### 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