## Linear Operators: Spectral theory |

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Page 1019

The

The

**inequality**is obvious for n = 1 and may be easily checked for n = 2. We shall suppose the**inequality**to be known for n - 1 , and proceed by induction . If ( a ) is an nxn matrix , let Ug = ( azj , Agj , ... , ans ] , i 1 1 , ...Page 1094

Then by Minkowski's

Then by Minkowski's

**inequality**, 11 ( 3 len ( 7 ) ) " > { , } " + { ] k ( 7 , " * 5 Tiln + Telp . In the same way ŠT } " ' s Talo + 1Tube Thus the first assertion of ( b ) follows on addition . The assertion of ( b ) , for the range 0 ...Page 1105

We now pause to sharpen another of the

We now pause to sharpen another of the

**inequalities**of Lemma 9 . ... the continuity of the norm function which follows from the triangle**inequality**of Lemma 14 ( d ) , and by Lemma 11 , it follows that we may without loss of generality ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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