## Linear Operators, Part 2 |

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Page 926

Stone's book [ 3 ]

Stone's book [ 3 ]

**gives**a thorough discussion of spectral theory in a separable Hilbert space , and is a very valuable reference ; it is primarily ...Page 1163

Chang ( 1 ) and ( 2 )

Chang ( 1 ) and ( 2 )

**gives**related results dealing with the product of an arbitrary finite number of operators of Hilbert - Schmidt type .Page 1306

The following table

The following table

**gives**the number of linearly independent solutions of ( T - 1 ) 0 = 0 square integrable at a or b when I ( 2 ) +0 .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero