## Linear Operators, Part 1 |

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Page xiv

Conditions XVII . ... Perturbations of

CHAPTER I Preliminary Concepts The study of linear operations requires xiv

CONTENTS.

**SPECTRAL**THEORY IX . B - Algebras ...**Spectral**Operators : SufficientConditions XVII . ... Perturbations of

**Spectral**Operators with Continuous**Spectra**CHAPTER I Preliminary Concepts The study of linear operations requires xiv

CONTENTS.

Page 574

Let f be in F ( T ) , and let t be a

neighborhood of t , and let e ( u ) = 0 for u in a neighborhood of the rest of o ( / ( T

) ) .

Let f be in F ( T ) , and let t be a

**spectral**set of f ( T ) . Then o ( T ) Of - ' ( T ) is a**spectral**set of T , and E ( T ; f ( T ) ) = E ( - ( ) ; T ) . Proof . Let e ( u ) = 1 for u in aneighborhood of t , and let e ( u ) = 0 for u in a neighborhood of the rest of o ( / ( T

) ) .

Page 749

and ...

**Spectral**theory I , Convergence to projections . Trans . Amer . Math . Soc . ...**Spectral**theory in abstract spaces and Banach algebras . Proc . Symposium on**Spectral**Theory and Differential Problems , 1-65 ( 1951 ) . Oklahoma Agriculturaland ...

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

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