## Linear Operators, Part 2 |

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Page 1151

To prove the normality of R we shall use this

disjoint closed sets in R. We select an open set G , in R such that Fin K , CG , Gn

F , = 0 , and then choose an open set Hy such that F , K , CH , Ēn ( F , UG , ) = .

To prove the normality of R we shall use this

**remark**inductively . Let F , and F , bedisjoint closed sets in R. We select an open set G , in R such that Fin K , CG , Gn

F , = 0 , and then choose an open set Hy such that F , K , CH , Ēn ( F , UG , ) = .

Page 1381

By the

| ( 1 ) form a complete set of boundary values for t , and the most general self

adjoint extension T , of T , ( t ) is defined by a boundary condition f ( 0 ) = ei ( 1 ) .

By the

**remark**following Definition 2.29 , the two linear functionals f + f ( 0 ) and | +| ( 1 ) form a complete set of boundary values for t , and the most general self

adjoint extension T , of T , ( t ) is defined by a boundary condition f ( 0 ) = ei ( 1 ) .

Page 1900

Almost periodic functions , definition , IV.2.25 ( 242 ) space of , additional

properties , IV.15 ( 379 ) definition , IV.2.25 ( 242 )

387 ) study of , IV.7 Almost uniform ( or j - uniform convergence ) definition , III .

6.1 ( 145 ) .

Almost periodic functions , definition , IV.2.25 ( 242 ) space of , additional

properties , IV.15 ( 379 ) definition , IV.2.25 ( 242 )

**remarks**concerning , ( 386–387 ) study of , IV.7 Almost uniform ( or j - uniform convergence ) definition , III .

6.1 ( 145 ) .

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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