## Linear Operators: Spectral theory |

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Page 1301

They are clearly linearly

it would follow that i has a boundary value at a which is

, ... , An - 1 , and hence has at least n + 1

They are clearly linearly

**independent**. If the assertion of the corollary were false ,it would follow that i has a boundary value at a which is

**independent**of the set A., ... , An - 1 , and hence has at least n + 1

**independent**boundary values at a .Page 1306

The following table gives the number of linearly

0 = 0 square integrable at a or b when I ( a ) +0 . There are four possibilities as

shown by the discussion above . At a Number of linearly

The following table gives the number of linearly

**independent**solutions of ( T - 1 )0 = 0 square integrable at a or b when I ( a ) +0 . There are four possibilities as

shown by the discussion above . At a Number of linearly

**independent**solutions ...Page 1311

The operator T = T ( T ) will be an operator obtained from t by the imposition of a

set , which may be vacuous , of k linearly

) 1 , ... , k ; i.e. , T is the restriction of T ( T ) ( cf. Definition 2.8 ) to the submanifold ...

The operator T = T ( T ) will be an operator obtained from t by the imposition of a

set , which may be vacuous , of k linearly

**independent**boundary conditions Bi ( 1) 1 , ... , k ; i.e. , T is the restriction of T ( T ) ( cf. Definition 2.8 ) to the submanifold ...

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Copyright | |

57 other sections not shown

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