## Linear Operators: Spectral theory |

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Page 1626

J. Related

J. Related

**theories**. A number of other applications of linear analysis to the study of differential operators besides the spectral**theory**presented in the present chapter have recently received attention . Two of these**theories**seem ...Page 1628

A detailed exposition of this

A detailed exposition of this

**theory**can be found in Levitan [ 1 ] . An approach to the study of differential operators in a Banach space of a more complex character than Hilbert space has been carried out by Feller [ 1 ] through [ 7 ] ...Page 1813

On the

On the

**theory**of systems of linear differential equations in a one - dimensional domain , I , II . I. Mat . Sbornik N. S. 18 ( 60 ) , 305-328 ( 1946 ) . II . ibid . 21 ( 63 ) , 143-159 ( 1947 ) . ( Russian . English summary ) Math .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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additive adjoint operator 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 singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero