## Linear Operators: Spectral theory |

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Page 1795

Über eineindeutige , stetige Transformationen von Flächen in sich . Math . Ann .

69 , 176 - 180 ( 1910 ) . Browder , F . E . 1 . The Dirichlet problem for linear elliptic

equations of arbitrary even order with variable coefficients .

Über eineindeutige , stetige Transformationen von Flächen in sich . Math . Ann .

69 , 176 - 180 ( 1910 ) . Browder , F . E . 1 . The Dirichlet problem for linear elliptic

equations of arbitrary even order with variable coefficients .

**Proc**. Nat . Acad .Page 1845

Complete continuities of linear operators .

1951 ) . Nakamura , M . , and Sunouchi , S . 1 . Note on Banach spaces ( IV ) . On

a decomposition of additive set functions .

...

Complete continuities of linear operators .

**Proc**. Japan Acad . 27 , 544 – 547 (1951 ) . Nakamura , M . , and Sunouchi , S . 1 . Note on Banach spaces ( IV ) . On

a decomposition of additive set functions .

**Proc**. Imp . Acad . Tokyo 18 , 333 - 335...

Page 1879

On vector lattices with a unit .

Vector lattices and additive set functions .

( 1941 ) . 3 . On the unitary equivalence in general Euclidean space .

On vector lattices with a unit .

**Proc**. Imp . Acad . Tokyo 17 , 121 - 124 ( 1941 ) . 2 .Vector lattices and additive set functions .

**Proc**. Imp . Acad . Tokyo 17 , 228 – 232( 1941 ) . 3 . On the unitary equivalence in general Euclidean space .

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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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