## Linear Operators: Spectral theory |

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Page 966

For some choice off the integral on the right of [ * ] is not zero and since , by

Lemma 1 ( d ) , the integral on the left of [ * ] is

agrees almost everywhere with a

of ...

For some choice off the integral on the right of [ * ] is not zero and since , by

Lemma 1 ( d ) , the integral on the left of [ * ] is

**continuous**, we conclude that hmagrees almost everywhere with a

**continuous**function . By redefining hm on a setof ...

Page 968

PROOF . Verification that the neighborhoods N ( h , K , e ) are a base for a

topology will be left to the reader . If hy eN ( h , K , ε ) and h , € N ( ho , K , E ) then

hy h , e N ( hho , K2 , a ) so that multiplication is

then hil ...

PROOF . Verification that the neighborhoods N ( h , K , e ) are a base for a

topology will be left to the reader . If hy eN ( h , K , ε ) and h , € N ( ho , K , E ) then

hy h , e N ( hho , K2 , a ) so that multiplication is

**continuous**. If hy e N ( h , K , ε )then hil ...

Page 1903

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. on non -

existence in Ln , 0 < p < 1 , V.7.37 ( 438 )

Absolutely

definition ...

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. on non -

existence in Ln , 0 < p < 1 , V.7.37 ( 438 )

**Continuous**functions . ( See alsoAbsolutely

**continuous**functions ) as a B - space , additional properties , IV.15definition ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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