## Linear Operators: Spectral theory |

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On the axiom of the nonconvergent sequences in some linear topological space . ... A theorem of the Hahn - Banach type for linear transformations . Trans . ... Notes on

On the axiom of the nonconvergent sequences in some linear topological space . ... A theorem of the Hahn - Banach type for linear transformations . Trans . ... Notes on

**Banach space**, X. Vitali - Hahn - Saks ' theorem and K - spaces .Page 1864

W'eak compactness in

W'eak 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 .Page 1869

On linear equations in Hilbert space . Mat . Sbornik N. S. 29 ( 71 ) , 529-550 ... On the compactness of the space L. Bull . Amer . Math . Soc . ... On certain

On linear equations in Hilbert space . Mat . Sbornik N. S. 29 ( 71 ) , 529-550 ... On the compactness of the space L. Bull . Amer . Math . Soc . ... On certain

**Banach spaces**whose elements are analytic functions . Actas Acad . Ci .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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