## Linear Operators, Volume 2 |

### From inside the book

Results 1-3 of 79

Page 972

From the preceding lemma it is seen that ( -xep ( 2 ) [ x , p ] 7- % e , for m , p in Mo Xe 2 € R. Since characters have modulus

From the preceding lemma it is seen that ( -xep ( 2 ) [ x , p ] 7- % e , for m , p in Mo Xe 2 € R. Since characters have modulus

**equal**to unity , it follows from Plancherel's theorem that { u ( e + p ) } 2 = { u ( e ) } 2 .Page 1396

Then both deficiency indices of t are

Then both deficiency indices of t are

**equal**. Moreover , all the self adjoint extensions of To ( T ) have the same set of non - isolated points , and this set is**equal**to oe ( t ) . PROOF . The second assertion follows immediately from ...Page 1761

Let n be a function in Co ( -0 , +00 ) which is identically

Let n be a function in Co ( -0 , +00 ) which is identically

**equal**to zero in ( -00 , 1 ) and identically**equal**to minus one in ( 1 , 0 ) . Let m = k ' +1 and let ( 8 — A ) ' ( ( Po - A ) ' f ) ( x ) ( 13 ) g ( x ; S ) = η ( s ) Σ XEC ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

37 other sections not shown

### Other editions - View all

### Common terms and phrases

additive adjoint operator algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero