## Linear Operators, Part 2 |

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Page 996

From Lemma 12 ( b ) it is seen that olf * ) Colg ) and from Lemma 12 ( c ) and the

equation of = Tf it follows that o ( f * 9 )

olf * 9 ) is a closed subset of the boundary of o ( Q ) . Since f * 9 = 0 it follows ...

From Lemma 12 ( b ) it is seen that olf * ) Colg ) and from Lemma 12 ( c ) and the

equation of = Tf it follows that o ( f * 9 )

**contains**no interior point of o ( P ) . Henceolf * 9 ) is a closed subset of the boundary of o ( Q ) . Since f * 9 = 0 it follows ...

Page 1456

Suppose for definiteness that I

, so that , unless I = I ( in which case t = t , and t is evidently bounded below ) , I ,

Suppose for definiteness that I

**contains**a neighborhood of the left end point a of I, so that , unless I = I ( in which case t = t , and t is evidently bounded below ) , I ,

**contains**a neighborhood of the right end point b of 1 . Unless I , = 1 , in which ...Page 1700

Nelson Dunford, Jacob T. Schwartz. part which is a smooth surface . Suppose

that no point in Eis interior to the closure of I. Let k be a positive integer , and let f

be in ( ' k - 1 ( 1 ) . Then ( i ) ifl , is a subdomain of I whose boundary

Nelson Dunford, Jacob T. Schwartz. part which is a smooth surface . Suppose

that no point in Eis interior to the closure of I. Let k be a positive integer , and let f

be in ( ' k - 1 ( 1 ) . Then ( i ) ifl , is a subdomain of I whose boundary

**contains**E ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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