## Linear Operators: General theory |

### From inside the book

Results 1-3 of 70

Page 81

... classes of continuous mappings between metric spaces . His conditions are

such that they can be specialized to

generalizations of some theorems of Saks II . 5 81 NOTES AND REMARKS.

... classes of continuous mappings between metric spaces . His conditions are

such that they can be specialized to

**give**those theorems or to**give**generalizations of some theorems of Saks II . 5 81 NOTES AND REMARKS.

Page 82

theorems or to

sequences of measures . Alexiewicz [ I ; II ] also discussed these results in

spaces where certain abstract notions of limit are available . Mazur and Orlicz [ 2 ]

( see also ...

theorems or to

**give**generalizations of some theorems of Saks [ 2 , 3 ] onsequences of measures . Alexiewicz [ I ; II ] also discussed these results in

spaces where certain abstract notions of limit are available . Mazur and Orlicz [ 2 ]

( see also ...

Page 337

It is easily seen that the isomorphism defined above can be used to

valid for the space BV ( I ) to many other of the questions asked in Section 1 . We

leave the details to the reader as an exercise . It was shown in Chapter III .

It is easily seen that the isomorphism defined above can be used to

**give**answersvalid for the space BV ( I ) to many other of the questions asked in Section 1 . We

leave the details to the reader as an exercise . It was shown in Chapter III .

### What people are saying - Write a review

User Review - Flag as inappropriate

i want to read

### Contents

B Topological Preliminaries | 10 |

quences | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

80 other sections not shown

### Other editions - View all

### Common terms and phrases

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