## Linear Operators, Part 2 |

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linear . We have tr ( T ) = fr ( T ) , where fr ( T ) is the expression of

linear . We have tr ( T ) = fr ( T ) , where fr ( T ) is the expression of

**Lemma**13 ( b ) . We now pause to sharpen another of the inequalities of**Lemma**9 . 20**LEMMA**. Let Me C , A , C ,,, Ag EC , ohere ri ' + ry'Fra = 1.Page 1226

Part ( a ) follows immediately from

Part ( a ) follows immediately from

**Lemma**5 ( b ) , and part ( b ) follows immediately from part ( a ) and**Lemma**5 ( c ) . Q.E.D. It follows from**Lemma**6 ( b ) that any symmetric operator with dense domain has a unique minimal closed ...Page 1698

Using

Using

**Lemma**2.1 , let y be a function in CO ( V ) with y ( x ) = 1 for x in K. Then , by**Lemmas**3.22 and 3.10 , fooi ? = y ( foqi ) = limm - cyhm in the norm of HP ( V ) , so that in case ( a ) we have shown that forīlis the limit in ...### 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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