## Linear Operators, Part 1 |

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Page 373

This generalizes and abstracts a result

0 , 1 ] by E. Fischer [ 2 ] . The fact that a linear manifold which is not dense in the

entire space has a non - zero orthogonal complement (

This generalizes and abstracts a result

**proved**for closed linear manifolds in L2 [0 , 1 ] by E. Fischer [ 2 ] . The fact that a linear manifold which is not dense in the

entire space has a non - zero orthogonal complement (

**proved**in 4.4 ) was ...Page 385

They are essentially due , at least in the real case , to Stone [ 1 ] , although his

terminology and proofs often differ from that given here . It should be mentioned

that Theorem 6.22 was

They are essentially due , at least in the real case , to Stone [ 1 ] , although his

terminology and proofs often differ from that given here . It should be mentioned

that Theorem 6.22 was

**proved**independently by Čech [ 1 ] only slightly later .Page 463

124 ] also

with that of closure in the X topology of X * . Alaoglu ( 1 ; p . 256 ] and Kakutani ( 2

; p . 170 ) independently established the equivalence of these types of closure ...

124 ] also

**proved**that in the case of a separable space hese notions coincidewith that of closure in the X topology of X * . Alaoglu ( 1 ; p . 256 ] and Kakutani ( 2

; p . 170 ) independently established the equivalence of these types of closure ...

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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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