## Linear Operators: Spectral theory |

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Page 1105

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. U EMMA .

linear . We have tr ( T ) = f ' ( T ) , where fr ( T ) is the expression of

. We now pause to sharpen another of the inequalities of

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. U EMMA .

linear . We have tr ( T ) = f ' ( T ) , where fr ( T ) is the expression of

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

**Lemma**9 .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 1698

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. norm of H

( P ) ( V ) of a sequence { hm } of elements of Coo ( D ) . Using

be a function in CO ( V ) with y ( x ) = 1 for x in K . Then , by

...

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. norm of H

( P ) ( V ) of a sequence { hm } of elements of Coo ( D ) . Using

**Lemma**2 . 1 , let ybe a function in CO ( V ) with y ( x ) = 1 for x in K . Then , by

**Lemmas**3 . 22 and 3...

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

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