## Linear Operators: Self Adjoint Operators in Hilbert Space. Spectral theory. Part II |

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Page 1800

Self Adjoint Operators in Hilbert Space. Spectral theory. ... Branch points of

solutions of equations in

Soc .

Self Adjoint Operators in Hilbert Space. Spectral theory. ... Branch points of

solutions of equations in

**Banach space**. Trans . Amer . Math . Soc . ... Reflexive**Banach spaces**not isomorphic to uniformly convex spaces . Bull . Amer . Math .Soc .

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

Self Adjoint Operators in Hilbert Space. Spectral theory. Part II Nelson ... On

linear equations in Hilbert space . Mat . Sbornik N. S. 29 ( 71 ) ... U.S.A. 25 , 438-

440 ( 1939 ) . On certain

Self Adjoint Operators in Hilbert Space. Spectral theory. Part II Nelson ... On

linear equations in Hilbert space . Mat . Sbornik N. S. 29 ( 71 ) ... U.S.A. 25 , 438-

440 ( 1939 ) . On certain

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

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Preliminary Notions | 865 |

Copyright | |

61 other sections not shown

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### 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