## Linear Operators: Spectral theory |

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Page 1301

They are clearly linearly

it would follow that t 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 t 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 square integrable at a or b when I ( a ) + 0 . There are four possibilities as

shown by the discussion above . Number of linearly

square ...

The following table gives the number of linearly

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

shown by the discussion above . Number of linearly

**independent**solutionssquare ...

Page 1311

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. with end

points a , b . The operator T = T ( 1 ) will be an operator obtained from t by the

imposition of a set , which may be vacuous , of k linearly

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. with end

points a , b . The operator T = T ( 1 ) will be an operator obtained from t by the

imposition of a set , which may be vacuous , of k linearly

**independent**boundary ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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