## Linear Operators: Spectral theory |

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A characterization of the normed vector ordered

over a compact

the Hahn -

A characterization of the normed vector ordered

**spaces**of continuous functionsover a compact

**space**. Amer . J . Math . 71 , 701 - 705 ( 1949 ) . 3 . A theorem ofthe Hahn -

**Banach**type for linear transformations . Trans . Amer . Math . Soc .Page 1858

On a class of Markoff processes . Trans . Amer . Math . Soc . 71 , 120 - 135 ( 1951

) . Rosenbloom , P . C . 1 . Elements of mathematical logic . Dover Publications ,

New York , 1950 . 2 . Perturbations of linear operators in

On a class of Markoff processes . Trans . Amer . Math . Soc . 71 , 120 - 135 ( 1951

) . Rosenbloom , P . C . 1 . Elements of mathematical logic . Dover Publications ,

New York , 1950 . 2 . Perturbations of linear operators in

**Banach spaces**.Page 1869

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 ... On certain

, 31 ...

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 ... On certain

**Banach spaces**whose elements are analytic functions . Actas Acad . Ci . Lima 12, 31 ...

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### Contents

IX | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Compact Groups | 945 |

Copyright | |

46 other sections not shown

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### Common terms and phrases

additive adjoint operator algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently consider constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives determined 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 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