## Linear Operators: Spectral theory |

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( Spanish . French summary ) . 2 . A characterization of the normed vector

ordered

**spaces**of continuous functions over a compact

**space**. Amer . J. Math .

71 , 701-705 ( 1949 ) . 3 . A theorem of the Hahn -

**Banach**type for linear

transformations .

Page 1864

Weak compactness in

Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1 . On estimates for

the eigenvalues of a self - adjoint operator . Akad . Nauk SSSR . Prikl . Mat . Meh .

Weak compactness in

**Banach spaces**. Studia Math . 11 , 71-94 ( 1950 ) .Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1 . On estimates for

the eigenvalues of a self - adjoint operator . Akad . Nauk SSSR . Prikl . Mat . Meh .

On linear equations in Hilbert space . Mat . Sbornik N. S. 29 ( 71 ) ... On the

compactness of the space L . Bull . Amer . Math . Soc . 38 , 79-84 ( 1932 ) ... On

certain

**Banach spaces**whose elements are analytic functions . Actas Acad . Ci .

Lima 12 ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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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 satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero