## Linear Operators: Spectral operators |

### From inside the book

Results 1-3 of 84

Page 2144

It clearly preserves finite disjoint unions , takes complements into complements , is countably additive in the X

It clearly preserves finite disjoint unions , takes complements into complements , is countably additive in the X

**topology**of X * , and is bounded .Page 2203

These open and closed sets o ( E ) form a basis for the

These open and closed sets o ( E ) form a basis for the

**topology**in 1. To see this , note that sets of the form { a || ( T - 1A ) ( 0 ) | < a } ...Page 2256

Thus each point in o ( R ) different from zero is contained in an arbitrarily small compact set open in the relative

Thus each point in o ( R ) different from zero is contained in an arbitrarily small compact set open in the relative

**topology**of ...### 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