## Linear Operators: Spectral theory |

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Page 1817

Amer . J .

least cluster point of the spectrum of boundary value problems . Amer . J .

70 , 847 – 855 ( 1948 ) . 2 . The gaps in the essential spectra of wave equations .

Amer . J .

**Math**. 76 , 831 - 838 ( 1954 ) . Hartman , P . , and Putnam , C . 1 . Theleast cluster point of the spectrum of boundary value problems . Amer . J .

**Math**.70 , 847 – 855 ( 1948 ) . 2 . The gaps in the essential spectra of wave equations .

Page 1854

J .

singular calculus of variations problem . Amer . J .

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 asingular calculus of variations problem . Amer . J .

**Math**. 70 , 780 – 803 ( 1948 ) .Page 1867

8 . Boundedness properties in function - lattices . Canadian J .

186 ( 1949 ) . The theory of representations for Boolean algebras . Trans . Amer .

8 . Boundedness properties in function - lattices . Canadian J .

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

**Math**. Soc . 40 , 37 - 111 ( 1936 ) . Linear transformations in Hilbert space , I - III .### What people are saying - Write a review

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

15 other sections not shown

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### Common terms and phrases

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