## Linear Operators: Spectral theory |

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Page 1302

Corollary 23 and from Theorems 19 and 20 that d ' and d ' exceed by n the

number of independent boundary values at a and at b

statement of the present corollary is then evident . Q . E . D . 26 COROLLARY . (

Kodaira ) ...

Corollary 23 and from Theorems 19 and 20 that d ' and d ' exceed by n the

number of independent boundary values at a and at b

**respectively**. Thestatement of the present corollary is then evident . Q . E . D . 26 COROLLARY . (

Kodaira ) ...

Page 1326

for all solutions of ( 1 - 2 ) 0 = 0 ( ( 7 * — ĀDo = 0 ) which are squareintegrable in

a neighborhood of a and b

conditions at a and at b

is ...

for all solutions of ( 1 - 2 ) 0 = 0 ( ( 7 * — ĀDo = 0 ) which are squareintegrable in

a neighborhood of a and b

**respectively**, and which satisfy the boundaryconditions at a and at b

**respectively**. Then the resolvent R ( 2 ; T ) = ( 21 — T ) - 1is ...

Page 1548

extensions of S and Ŝ

defined for the self adjoint operators T and Î as in Exercise D2 . Show that an ( T )

= n ( † ) , n 2 1 . D11 Let Tį be a self adjoint operator in Hilbert space Hi , and let T

...

extensions of S and Ŝ

**respectively**, and let ( T ) and 2n ( Î ) be the numbersdefined for the self adjoint operators T and Î as in Exercise D2 . Show that an ( T )

= n ( † ) , n 2 1 . D11 Let Tį be a self adjoint operator in Hilbert space Hi , and let T

...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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