## Linear Operators, Part 1 |

### From inside the book

Results 1-3 of 40

Page 630

As may be expected from the attention we have devoted to Theorem 13,

Corollary 14, and Corollary 16, it is important in the present theory to discover

when a closed operator A is the generator of a strongly continuous

Theorem 13 ...

As may be expected from the attention we have devoted to Theorem 13,

Corollary 14, and Corollary 16, it is important in the present theory to discover

when a closed operator A is the generator of a strongly continuous

**semi**-**group**.Theorem 13 ...

Page 689

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. the

ranges of all the operators T(u)—I. If a * is a functional vanishing on the ranges of

all ...

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. the

**semi**-**group**. Since E"(T(w)–1) = T(w)—I, the range of E' contains the union of theranges of all the operators T(u)—I. If a * is a functional vanishing on the ranges of

all ...

Page 697

Let (S. 2, u) be a positive measure space and let {T(t1,..., ti), ti, ..., to > 0} be a

strongly measurable

(t1,..., to)'s s 1. Let I < p < oc, fe L, and f*(s) = sup A(x)(f, s) where 0<x<oo I ox ox A

(x) ...

Let (S. 2, u) be a positive measure space and let {T(t1,..., ti), ti, ..., to > 0} be a

strongly measurable

**semi**-**group**of operators in L1(S. 2, u) with T(t1,..., to)|1 < 1, T(t1,..., to)'s s 1. Let I < p < oc, fe L, and f*(s) = sup A(x)(f, s) where 0<x<oo I ox ox A

(x) ...

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### Contents

A Settheoretic Preliminaries | 1 |

Convergence and Uniform Convergence of Generalized | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

27 other sections not shown

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