## Linear Operators: General theory |

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Page 542

and Lị , concrete

convenience of ... such

four tables ...

**Representation**of linear operators . In the application of the ... For the spaces Cand Lị , concrete

**representations**were given in Sections 7 - - 8 . For theconvenience of ... such

**representation**theorems are explicitly stated . There arefour tables ...

Page 552

A question related to the

space . Gowurin gave a

...

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 functional...

Page 733

. 4 . Approximation in , and

Math . 71 , 763 – 790 ( 1949 ) . 5 . A topology for spaces of transformations .

**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 ) . 5 . A topology for spaces of transformations .

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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### Common terms and phrases

Acad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex Consequently contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad domain elements 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 mean measure space metric space neighborhood norm operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology transformations u-integrable u-measurable uniformly union unique unit valued vector weak zero