## Linear Operators, Part 2 |

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Page 984

The set of functions f in Ly ( R ) for which s

is dense in L ( R ) . Proof . It follows from Lemma 3 . 6 that the set of all functions

in L2 ( R , B , u ) which

...

The set of functions f in Ly ( R ) for which s

**vanishes**in a neighborhood of infinityis dense in L ( R ) . Proof . It follows from Lemma 3 . 6 that the set of all functions

in L2 ( R , B , u ) which

**vanish**outside of compact sets is dense in this space , and...

Page 997

Let o be a bounded measurable function on R . Then a point m , in Ř is in the

complement of the spectral set of q if and only if there are neighborhoods V of the

identity in R and U of mo such that the transform t ( $ f )

in ...

Let o be a bounded measurable function on R . Then a point m , in Ř is in the

complement of the spectral set of q if and only if there are neighborhoods V of the

identity in R and U of mo such that the transform t ( $ f )

**vanishes**on U for every fin ...

Page 1651

and o

CF , so that G ( q ) = F ( YKP ) = F ( Q ) . Thus G | I = F . If KCp = 0 and the function

q in CO ( I ul . )

and o

**vanishes**outside K , then Yk9 - 9**vanishes**outside a compact subset of 1 -CF , so that G ( q ) = F ( YKP ) = F ( Q ) . Thus G | I = F . If KCp = 0 and the function

q in CO ( I ul . )

**vanishes**outside K , then it is clear that pyk**vanishes**outside a ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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