## Linear Operators: Spectral operators |

### From inside the book

Results 1-3 of 75

Page 1983

... countably additive set functions , ordinary Lebesgue

... countably additive set functions , ordinary Lebesgue

**integrals**, proper value**integrals**or any other improper**integral**, is a B * -algebra which is * -equivalent to the B * -algebra û = L ( RN , E , ds ) where is the o - field of ...Page 1990

Here , we shall first be concerned with certain special examples of convolutions which map H into H , which belong to the algebra A , and which have an

Here , we shall first be concerned with certain special examples of convolutions which map H into H , which belong to the algebra A , and which have an

**integral**representation in one of the two forms ( 18 ) ( f * ° ) ( 8 ) = Sex 918 — 1 ...Page 2052

assume that ß # 0 and that not all of the constants yo , , ... , Yn are zero , for otherwise the operator ( 112 ) reduces to the case covered by the preceding example , whereas with our assumptions a slightly different type of

assume that ß # 0 and that not all of the constants yo , , ... , Yn are zero , for otherwise the operator ( 112 ) reduces to the case covered by the preceding example , whereas with our assumptions a slightly different type of

**integral**...### What people are saying - Write a review

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

### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

32 other sections not shown

### Other editions - View all

### Common terms and phrases

adjoint operator Amer analytic apply arbitrary assumed B-space Banach space belongs Boolean algebra Borel set boundary conditions bounded bounded operator Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension fact finite follows formal formula function given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear operator Math Moreover multiplicity norm perturbation plane positive preceding present problem projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type seen sequence shown shows similar solution spectral measure spectral operator spectrum subset sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero