## Linear Operators: General theory |

### From inside the book

Results 1-3 of 85

Page 263

Since G is an

Since G is an

**arbitrary**open set containing F1 - G , we have M ( F1 ) Si ( G ) + M ( F1 - G ) . If F is a closed set it follows from this inequality ...Page 269

Since G is an

Since G is an

**arbitrary**open set containing Fi - G , we have M7 ( F1 ) Si ( G ) + M ( F - Gi ) . If F is a closed set it follows from this inequality ...Page 476

N ( T ; A , € ) = { R | R B ( X , Y ) , | ( T - R ) xl < E , X € A } where A is an

N ( T ; A , € ) = { R | R B ( X , Y ) , | ( T - R ) xl < E , X € A } where A is an

**arbitrary**finite subset of X , and a > 0 is**arbitrary**.### 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 |

quences | 26 |

Copyright | |

80 other sections not shown

### Other editions - View all

### Common terms and phrases

Akad algebra Amer analytic applied arbitrary assume B-space Banach Banach spaces bounded called clear closed compact complex Consequently contains converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint domain 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 mean measure space metric space neighborhood norm o-field open set operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen 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