## Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |

### From inside the book

Results 1-3 of 20

Page 2512

( Russian ) Math . Rev . 30 , # 5169 , 961 ( 1965 ) . 2 . On scattering operators

and contraction semi - groups in Hilbert space .

9 – 12 ( 1965 ) . ( Russian ) Math . Rev . 32 # 6240 , 1068 ( 1966 ) . Soviet Math .

( Russian ) Math . Rev . 30 , # 5169 , 961 ( 1965 ) . 2 . On scattering operators

and contraction semi - groups in Hilbert space .

**Doklady Akad**. Nauk SSSR 165 ,9 – 12 ( 1965 ) . ( Russian ) Math . Rev . 32 # 6240 , 1068 ( 1966 ) . Soviet Math .

Page 2545

Nauk 14 , no . 3 ( 87 ) , 145 – 152 ( 1959 ) . ( Russian ) Math . Rev . 22 # 9856 (

1961 ) . Amer . Math . Soc . Transl . ( 2 ) 26 , 221 - 229 . 23 . A contribution to the

theory of linear non - selfadjoint operators .

...

Nauk 14 , no . 3 ( 87 ) , 145 – 152 ( 1959 ) . ( Russian ) Math . Rev . 22 # 9856 (

1961 ) . Amer . Math . Soc . Transl . ( 2 ) 26 , 221 - 229 . 23 . A contribution to the

theory of linear non - selfadjoint operators .

**Doklady Akad**. Nauk SSSR 130 , 254...

Page 2549

( Russian ) Math . Rev . 33 # 4680 , 792 ( 1967 ) . 6 . Expansion in characteristic

functions of a non - selfadjoint differential operator with spectral singularities .

Dokl .

( Russian ) Math . Rev . 33 # 4680 , 792 ( 1967 ) . 6 . Expansion in characteristic

functions of a non - selfadjoint differential operator with spectral singularities .

**Doklady Akad**. Nauk SSSR 149 , 256 - 259 ( 1963 ) . ( Russian ) Soviet Math .Dokl .

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### Contents

SPECTRAL OPERATORS XV Spectral Operators | 1924 |

Introduction | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

32 other sections not shown

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### Common terms and phrases

analytic apply arbitrary assumed B-space Banach space Boolean algebra Borel sets boundary conditions bounded bounded Borel bounded operator Chapter clear clearly closure commuting compact complex consider constant contained converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established example exists extension fact finite follows formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear linear operator manifold Math Moreover multiplicity norm normal positive preceding present problem projections PROOF properties prove range regular resolution resolvent respectively restriction Russian satisfies scalar type seen sequence shown shows spectral measure spectral operator spectrum statement strongly subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector weakly zero