## Linear Operators: General theory |

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Page 62

It remains to be

an indirect proof , assume the existence of a vector y , in X but not in Yo . Every

vector in the manifold Y , spanned by Y . and y , has a unique representation in ...

It remains to be

**shown**that the domain Yo of g is equal to X . For the purposes ofan indirect proof , assume the existence of a vector y , in X but not in Yo . Every

vector in the manifold Y , spanned by Y . and y , has a unique representation in ...

Page 83

That such results are valid in metric groups was

Banach [ 1 ; Chap . 1 ] and Kuratowski [ 1 ] ) . Conditions of this nature are

extended to polynomial operators by Mazur and Orlicz [ 2 ] . It is sometimes useful

to ...

That such results are valid in metric groups was

**shown**by Banach [ 7 ] ( see alsoBanach [ 1 ; Chap . 1 ] and Kuratowski [ 1 ] ) . Conditions of this nature are

extended to polynomial operators by Mazur and Orlicz [ 2 ] . It is sometimes useful

to ...

Page 553

841 ] has

seen in Theorems 7 . 4 and 8 . 12 that in the spaces C and L , FCCC W CP .

Grothendieck [ 4 ; p . 153 ] proved that in C , the ideals W and ß coincide . This is

not ...

841 ] has

**shown**that in Hilbert space C is a maximal two - sided ideal . We haveseen in Theorems 7 . 4 and 8 . 12 that in the spaces C and L , FCCC W CP .

Grothendieck [ 4 ; p . 153 ] proved that in C , the ideals W and ß coincide . This is

not ...

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### Contents

Metric Spaces | 19 |

Convergence and Uniform Convergence of Generalized | 26 |

Exercises | 33 |

Copyright | |

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