## Linear Operators: Spectral theory |

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Page 1151

To prove the normality of R we shall use this

disjoint closed sets in R. We select an open set G, in R such that Fin Ki CG1, Gin

F. - %, and then choose an open set H1 such that F., n K. C. H., H., n (Fi U G1) ...

To prove the normality of R we shall use this

**remark**inductively. Let Fı and F, bedisjoint closed sets in R. We select an open set G, in R such that Fin Ki CG1, Gin

F. - %, and then choose an open set H1 such that F., n K. C. H., H., n (Fi U G1) ...

Page 1381

By the

f(1) form a complete set of boundary values for ri and the most general self

adjoint extension To of To(r) is defined by a boundary condition f(0) = e”f(1).

Since [0 ...

By the

**remark**following Definition 2.29, the two linear functionals f –- f(0) and f =>f(1) form a complete set of boundary values for ri and the most general self

adjoint extension To of To(r) is defined by a boundary condition f(0) = e”f(1).

Since [0 ...

Page 1472

We summarize the above

By

defined by the boundary conditions B (if r has boundary values at a) and f(c) ...

We summarize the above

**remarks**for future reference in the following lemma. ...By

**remark**(b) preceding Lemma 41, the adjoint of To of T is the restriction of Ti(r)defined by the boundary conditions B (if r has boundary values at a) and f(c) ...

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### Contents

SPECTRAL THEORY | 858 |

868 | 885 |

Miscellaneous Applications | 937 |

Copyright | |

38 other sections not shown

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