## Linear Operators: Spectral theory |

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Page 1396

Then both deficiency indices of t are

extensions of To(r) have the same set of non-isolated points, and this set is

to o,(r). PRoof. The second assertion follows immediately from Theorem 5 and

Corollary ...

Then both deficiency indices of t are

**equal**. Moreover, all the self adjointextensions of To(r) have the same set of non-isolated points, and this set is

**equal**to o,(r). PRoof. The second assertion follows immediately from Theorem 5 and

Corollary ...

Page 1454

If T is a closed symmetric operator in Hilbert space, and T is bounded below, then

(a) the essential spectrum of T is a subset of the real aris which is bounded below

; (b) the deficiency indices of T are

If T is a closed symmetric operator in Hilbert space, and T is bounded below, then

(a) the essential spectrum of T is a subset of the real aris which is bounded below

; (b) the deficiency indices of T are

**equal**. PRoof. To prove (a), note that if T is ...Page 1735

Let $ in Co(E") be identically

sphere in E" and identically zero outside the sphere of radius 2 in E". We wish to

show that flu is in Hot!)(UI) for some neighborhood U of the origin. We see from ...

Let $ in Co(E") be identically

**equal**to 1 in a neighborhood of the unit closedsphere in E" and identically zero outside the sphere of radius 2 in E". We wish to

show that flu is in Hot!)(UI) for some neighborhood U of the origin. We see from ...

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### Contents

SPECTRAL THEORY | 858 |

868 | 885 |

Miscellaneous Applications | 937 |

Copyright | |

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