## Linear Operators: Spectral theory |

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Page 926

Stone ' s book [ 3 ]

Hilbert space , and is a very valuable reference ; it is primarily concerned with

unbounded operators . The book of Sz . - Nagy [ 3 ]

both ...

Stone ' s book [ 3 ]

**gives**a thorough discussion of spectral theory in a separableHilbert space , and is a very valuable reference ; it is primarily concerned with

unbounded operators . The book of Sz . - Nagy [ 3 ]

**gives**a concise account ofboth ...

Page 1163

Chang [ 1 ] and [ 2 ]

finite number of operators of Hilbert - Schmidt type . Nikovič [ 1 ]

results for a class of integral operators defined by requiring the finiteness of

integral ...

Chang [ 1 ] and [ 2 ]

**gives**related results dealing with the product of an arbitraryfinite number of operators of Hilbert - Schmidt type . Nikovič [ 1 ]

**gives**someresults for a class of integral operators defined by requiring the finiteness of

integral ...

Page 1306

The following table

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 solutions ...

The following table

**gives**the number of linearly independent solutions of ( 1 – 2 )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 solutions ...

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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