## Linear Operators: General theory |

### From inside the book

Results 1-3 of 89

Page 3

that is , for every a € A , the

that is , for every a € A , the

**function f**assigns an element f ( a ) € B. If f : A + B and g : B → C , then the mapping gf : A → C is defined by the ...Page 103

space of all functions which map S into X ( see 1.6.1 ) . ... The

space of all functions which map S into X ( see 1.6.1 ) . ... The

**function f**on S to X is said to be a u - null function or , when u is understood , simply ...Page 196

For each s in S , F ( s ) is an equivalence class of functions , any pair of whose members ... If for each s we select a particular

For each s in S , F ( s ) is an equivalence class of functions , any pair of whose members ... If for each s we select a particular

**function f**( s , . ) ...### 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