## 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 ,

Gon F , = 0 , and then choose an open set H , such that Fen K , CH , Ēn ( FU ) = $

.

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 ,

Gon F , = 0 , and then choose an open set H , such that Fen K , CH , Ēn ( FU ) = $

.

Page 1381

By the

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

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

Page 1472

On the other hand , if two linearly independent solutions of to = lo satisfy the

boundary condition B , it follows that all solutions of to = ho satisfy B . By the

and a < c ...

On the other hand , if two linearly independent solutions of to = lo satisfy the

boundary condition B , it follows that all solutions of to = ho satisfy B . By the

**remark**( a ) made above , it then follows that for any two solutions f , g of to = lo ,and a < c ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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