## Linear Operators: Spectral theory |

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Page 865

Let æ be an element of a B - subalgebra X , of X whose unit is the same as that of

X . Then o ( x ) Coo ( x ) while the boundary of 00 ( x ) is

boundary of o ( x ) . Proof . Since the unit e in X is also in Xo , it follows that a

regular ...

Let æ be an element of a B - subalgebra X , of X whose unit is the same as that of

X . Then o ( x ) Coo ( x ) while the boundary of 00 ( x ) is

**contained**in theboundary of o ( x ) . Proof . Since the unit e in X is also in Xo , it follows that a

regular ...

Page 866

Let J be a right ideal and order by inclusion the family of all right ideals which

right ( and similarly for left and two - sided ) ideal is

ideal .

Let J be a right ideal and order by inclusion the family of all right ideals which

**contain**J . An application of Zorn ' s lemma shows that this family ... Thus anyright ( and similarly for left and two - sided ) ideal is

**contained**in a maximal rightideal .

Page 1162

For our purposes we define a closed ideal to be primary if it is

precisely one regular maximal ideal . Theorem ... the problem in Ly ( R ) is to find

when a closed ideal is the intersection of the regular maximal ideals which

For our purposes we define a closed ideal to be primary if it is

**contained**inprecisely one regular maximal ideal . Theorem ... the problem in Ly ( R ) is to find

when a closed ideal is the intersection of the regular maximal ideals which

**contain**it .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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