## Linear Operators: Spectral theory |

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Page 1272

If T is a symmetric operator with dense domain , then it has proper symmetric extensions provided both of its deficiency

If T is a symmetric operator with dense domain , then it has proper symmetric extensions provided both of its deficiency

**indices**are different from zero . A marimal symmetric operator is one which has no proper symmetric extensions ...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 axis which is bounded below ; ( b ) the deficiency

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 axis which is bounded below ; ( b ) the deficiency

**indices**of T are equal . PROOF .Page 1612

are integrable in ( 0 , 0 ) , then the deficiency

are integrable in ( 0 , 0 ) , then the deficiency

**indices**of t are ( n , n ) . ( 8 ) If the functions ( 1 / pn ) ' , Pn - 1 , ... , Po are integrable , if lim pr ( t ) > 0 and if q is a function of bounded variation , then the ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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