## Linear Operators: Spectral theory |

### From inside the book

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Page 1800

Branch points of solutions of equations in

definition of degree for certain mappings in Hilbert space . Amer . J. Math . ...

Reflexive

.

Branch points of solutions of equations in

**Banach space**. Trans . Amer . ... Adefinition of degree for certain mappings in Hilbert space . Amer . J. Math . ...

Reflexive

**Banach spaces**not isomorphic to uniformly convex spaces . Bull . Amer.

Page 1845

A characterization of the normed vector ordered

over a compact

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 of theHahn -

**Banach**type for linear transformations . Trans . Amer . Math . Soc .Page 1869

On linear equations in Hilbert space . Mat . Sbornik N. S. 29 ( 71 ) , 529-550 (

1951 ) ... On the compactness of the space Ly . Bull . Amer . Math . Soc . ... On

certain

Lima 12 ...

On linear equations in Hilbert space . Mat . Sbornik N. S. 29 ( 71 ) , 529-550 (

1951 ) ... On the compactness of the space Ly . Bull . Amer . Math . Soc . ... On

certain

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

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Copyright | |

57 other sections not shown

### Common terms and phrases

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 Nauk 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