## Linear Operators: Spectral theory |

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Page 1792

si des Boundary value and expansion problems of ordinary linear

oscillation theorems for a certain boundary value problem . Trans . Amer . Math .

Soc .

si des Boundary value and expansion problems of ordinary linear

**differential****equations**. Trans . Amer . Math . Soc . 9 , 373 – 395 ( 1908 ) . Existence andoscillation theorems for a certain boundary value problem . Trans . Amer . Math .

Soc .

Page 1795

The Dirichlet problem for linear elliptic equations of arbitrary even order with

variable coefficients . Proc . Nat . Acad . Sci . U . S . A . 38 , 230 – 235 ( 1952 ) . 2 .

The Dirichlet and vibration problems for linear elliptic

The Dirichlet problem for linear elliptic equations of arbitrary even order with

variable coefficients . Proc . Nat . Acad . Sci . U . S . A . 38 , 230 – 235 ( 1952 ) . 2 .

The Dirichlet and vibration problems for linear elliptic

**differential equations**of ...Page 1817

On the essential spectra of ordinary

831 - 838 ( 1954 ) . Hartman , P . , and Putnam , C . 1 . The least cluster point of

the spectrum of boundary value problems . Amer . J . Math . 70 , 847 - 855 ( 1948

) .

On the essential spectra of ordinary

**differential equations**. Amer . J . Math . 76 ,831 - 838 ( 1954 ) . Hartman , P . , and Putnam , C . 1 . The least cluster point of

the spectrum of boundary value problems . Amer . J . Math . 70 , 847 - 855 ( 1948

) .

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

37 other sections not shown

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### Common terms and phrases

additive 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 differential equations domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function 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 Proc 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