## Linear Operators, Part 2 |

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Page 1817

On the essential spectra of ordinary differential equations . Amer . J.

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

spectrum of boundary value problems . Amer . J.

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 ) . 2 .Page 1854

On commutators of bounded matrices . Amer . J.

On the spectra of commutators . Proc . Amer .

. An application of spectral theory to a singular calculus of variations problem .

On commutators of bounded matrices . Amer . J.

**Math**. 73 , 127-131 ( 1951 ) . 3 .On the spectra of commutators . Proc . Amer .

**Math**. Soc . 5 , 929–931 ( 1954 ) . 4. An application of spectral theory to a singular calculus of variations problem .

Page 1867

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. 12 . 8 .

Boundedness properties in function - lattices . Canadian J.

1949 ) . 9 . The theory of representations for Boolean algebras . Trans . Amer .

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. 12 . 8 .

Boundedness properties in function - lattices . Canadian J.

**Math**. 1 , 176-186 (1949 ) . 9 . The theory of representations for Boolean algebras . Trans . Amer .

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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### Common terms and phrases

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