## Linear Operators: Spectral theory |

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Page 1270

The

The

**problem**of determining whether a given symmetric operator has a self adjoint extension is of crucial importance in determining whether the spectral theorem may be employed . If the answer to this**problem**is affirmative , it is ...Page 1622

P 1+ I. The converse

P 1+ I. The converse

**problem**. The wide application of the spectral theory of differential operators to a variety of**problems**in modern physics not only has shown a physical meaning for many of the mathematical notions , but has also ...Page 1831

Infinite J - matrices and a matrix moment

Infinite J - matrices and a matrix moment

**problem**. Doklady Akad . Nauk SSSR ( N. S. ) 69 , 125–128 ( 1949 ) . ( Russian ) Math . Rev. 11 , 670 ( 1950 ) . 8 . On the trace formula in perturbation theory . Mat .### 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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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 satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero