## Linear Operators, Part 2 |

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Page 1058

Since limR - zoo Sir - leirw . dr exists for all w such that w , 70 , i . e . , for

almost all w , the existence of the limit ( * ) will follow by the Lebesgue dominated

convergence theorem if we can find a u -

eirwi ...

Since limR - zoo Sir - leirw . dr exists for all w such that w , 70 , i . e . , for

**u**-almost all w , the existence of the limit ( * ) will follow by the Lebesgue dominated

convergence theorem if we can find a u -

**integrable**function w of w such that PReirwi ...

Page 1085

Suppose that A ( : , • ) is chosen in such a way that the formula f ( s ) = A ( s , s )

defines a u - measurable ,

the preceding exercise is chosen to be 01 = SA ( s , 8 ) u ( ds ) . ( a ) Then the ...

Suppose that A ( : , • ) is chosen in such a way that the formula f ( s ) = A ( s , s )

defines a u - measurable ,

**u**-**integrable**function . Suppose that the number o , ofthe preceding exercise is chosen to be 01 = SA ( s , 8 ) u ( ds ) . ( a ) Then the ...

Page 1341

If { m } is the matrix of densities of Mis with respect to u , then there exist

nonnegative u - measurable functions Pi , i = 1 , . . . , n ,

bounded interval , and u - measurable functions aiz , 1 Si , i sn , such that for u -

almost all ...

If { m } is the matrix of densities of Mis with respect to u , then there exist

nonnegative u - measurable functions Pi , i = 1 , . . . , n ,

**u**-**integrable**over eachbounded interval , and u - measurable functions aiz , 1 Si , i sn , such that for u -

almost all ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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