## Linear Operators: General theory |

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Page 183

it

Conversely , since $ ( EU EZ ) = $ ( EU ( EZ ) and $ E , E , ) = 4 ( E ) * ( E2 ) if E2 ,

E , belong to El , v ( uz , ° ( E ) ) is a nonnegative additive set function defined for ...

it

**follows**readily from the definition of v ( ug ) that v ( uz , 6 - 1 ( E ) ) 2 v ( uz , E ) .Conversely , since $ ( EU EZ ) = $ ( EU ( EZ ) and $ E , E , ) = 4 ( E ) * ( E2 ) if E2 ,

E , belong to El , v ( uz , ° ( E ) ) is a nonnegative additive set function defined for ...

Page 403

It

measure defined intrinsically in any n - dimensional real Hilbert space H , without

reference to any particular coordinate system in that space . This measure will be

...

It

**follows**from the rotational invariance of in that Min may be regarded as ameasure defined intrinsically in any n - dimensional real Hilbert space H , without

reference to any particular coordinate system in that space . This measure will be

...

Page 714

It

= Ep + Ep . Further T commutes with Ep and E , so this direct sum decomposition

is into subspaces invariant under T . Statements ( a ) and ( b )

It

**follows**from its definition that Ep is a projection , that E E = E , Ep = 0 , and that I= Ep + Ep . Further T commutes with Ep and E , so this direct sum decomposition

is into subspaces invariant under T . Statements ( a ) and ( b )

**follow**from the ...### What people are saying - Write a review

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### Contents

Metric Spaces | 19 |

Convergence and Uniform Convergence of Generalized | 26 |

Exercises | 33 |

Copyright | |

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