## Linear Operators: Spectral operators |

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Page 2307

Let 7 be a formally symmetric formal differential operator of order n defined on an

interval I . Let the

, . . . , m , be a set of m linearly independent boundary values for T . Let S be ...

Let 7 be a formally symmetric formal differential operator of order n defined on an

interval I . Let the

**deficiency indices**of both be equal to an integer m . Let Ai , i = 1, . . . , m , be a set of m linearly independent boundary values for T . Let S be ...

Page 2463

19 the

13 ( b ) , H + V is self adjoint , proving assertion ( a ) of our lemma . Q . E . D . 14

LEMMA . Let H be a self adjoint operator in H , with domain D ( H ) . Let V and V .

19 the

**deficiency indices**of H + V are both zero . Therefore , by Corollary XII . 4 .13 ( b ) , H + V is self adjoint , proving assertion ( a ) of our lemma . Q . E . D . 14

LEMMA . Let H be a self adjoint operator in H , with domain D ( H ) . Let V and V .

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### Contents

SPECTRAL OPERATORS | 1924 |

Spectral Operators | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

31 other sections not shown

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