## Linear Operators, Part 1 |

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Page 36

+ yz of distinct elements . . . , z of A which vanishes is that for which a B = . = y = 0

. It follows readily from Theorem 2.7 that in every linear vector space X there is a

maximal linearly

+ yz of distinct elements . . . , z of A which vanishes is that for which a B = . = y = 0

. It follows readily from Theorem 2.7 that in every linear vector space X there is a

maximal linearly

**independent**set B. A subset B of the linear space X is called a ...Page 251

... is a sequence of scalars , then the series Ediyi converges if and only if E2 < 0 ,

and in this case Ediyil = ( 30/12 ) 1/2 . When it converges , the series Edy ; is

Ediyi ...

... is a sequence of scalars , then the series Ediyi converges if and only if E2 < 0 ,

and in this case Ediyil = ( 30/12 ) 1/2 . When it converges , the series Edy ; is

**independent**of the order in which its terms are arranged . PROOF . For m > n 1Ediyi ...

Page 601

It suffices to establish the formula above for f ( T ) since the integral is

analyticity of R ( 2 ; T ) , we may assume that a ¢ VUI ' , since otherwise , using the

Cauchy ...

It suffices to establish the formula above for f ( T ) since the integral is

**independent**of a . Given a e Q ( T ) and the set V we observe first that due to theanalyticity of R ( 2 ; T ) , we may assume that a ¢ VUI ' , since otherwise , using the

Cauchy ...

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

87 other sections not shown

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