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

### From inside the book

Results 1-3 of 86

Page 2147

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

Theodore Schwartz. resolution of the identity for T ... Conversely , let the bounded

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

Theodore Schwartz. resolution of the identity for T ... Conversely , let the bounded

**linear operator**T satisfy conditions ( A ) , ( B ) , and ( C ) . Then , by Theorem 3 .Page 2162

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

Theodore Schwartz. PROOF . If the bounded

complete space has properties ( B ) and ( G ) then , by Lemma 4 , it has

properties ( A ) ...

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

Theodore Schwartz. PROOF . If the bounded

**linear operator**T in a weaklycomplete space has properties ( B ) and ( G ) then , by Lemma 4 , it has

properties ( A ) ...

Page 2400

The basic idea of Friedrichs ' method may be expressed heuristically as follows .

Let X be a B - space , and let T be a

The basic idea of Friedrichs ' method may be expressed heuristically as follows .

Let X be a B - space , and let T be a

**linear operator**in X ; let K be a second**linear****operator**in x which is , in a sense to be made precise below , very small relative ...### 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