## Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |

### From inside the book

Results 1-3 of 7

Page 1957

Q . E . D . In Theorem 3 the requirement that the

is quite

in C ...

Q . E . D . In Theorem 3 the requirement that the

**spectral**operator be of finite typeis quite

**essential**. The following elementary example shows that there are**spectral**operators with residual**spectrum**. Consider the operator Tf = 9 , definedin C ...

Page 2258

Theodore Schwartz ... First , we show that the presence of the finite point

that ...

**Spectral**Theory : Self Adjoint Operators in Hilbert Space Nelson Dunford, JacobTheodore Schwartz ... First , we show that the presence of the finite point

**spectrum**{ , . . . , dn } lends no**essential**complication to the situation at hand , sothat ...

Page 2515

Spectral Theory : Self Adjoint Operators in Hilbert Space Nelson Dunford, Jacob

Theodore Schwartz. Bahtin , I . A . , Krasnosel ' skis , M . A . ... The

776 ...

Spectral Theory : Self Adjoint Operators in Hilbert Space Nelson Dunford, Jacob

Theodore Schwartz. Bahtin , I . A . , Krasnosel ' skis , M . A . ... The

**essential****spectrum**of a class of ordinary differential operators . Pacific J . Math . 14 , 755 –776 ...

### What people are saying - Write a review

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

### Contents

SPECTRAL OPERATORS XV Spectral Operators | 1924 |

Introduction | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

32 other sections not shown

### Other editions - View all

### Common terms and phrases

analytic apply arbitrary assumed B-space Banach space Boolean algebra Borel sets boundary conditions bounded bounded Borel bounded operator Chapter clear clearly closure commuting compact complex consider constant contained converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established example exists extension fact finite follows formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear linear operator manifold Math Moreover multiplicity norm normal positive preceding present problem projections PROOF properties prove range regular resolution resolvent respectively restriction Russian satisfies scalar type seen sequence shown shows spectral measure spectral operator spectrum statement strongly subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector weakly zero