## Linear Operators, Part 2 |

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Page 1105

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

now pause to sharpen another of the inequalities of

Me C , A , C , A , C , ohere r ' + rs ' hr , = 1 . Then ( a ) tr ( A , A , A3 ) = 411 , , | A2 |

rg ...

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

**Lemma**13 ( b ) . Wenow pause to sharpen another of the inequalities of

**Lemma**9 . 20**LEMMA**. LetMe C , A , C , A , C , ohere r ' + rs ' hr , = 1 . Then ( a ) tr ( A , A , A3 ) = 411 , , | A2 |

rg ...

Page 1226

Proof . Part ( a ) follows immediately from

immediately from part ( a ) and

b ) that any symmetric operator with dense domain has a unique minimal closed

...

Proof . Part ( a ) follows immediately from

**Lemma**5 ( b ) , and part ( b ) followsimmediately 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 1733

Q . E . D .

neighborhood of the boundary of a domain with smooth boundary . This is carried

out in the next two

Q . E . D .

**Lemma**18 enables us to use the method of proof of Theorem 2 in theneighborhood of the boundary of a domain with smooth boundary . This is carried

out in the next two

**lemmas**. 19**LEMMA**. Let o be an elliptic formal partial ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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