## Linear Operators: Spectral operators |

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Doklady

5169 , 961 ( 1965 ) . 2. On scattering operators and contraction semi - groups in

Hilbert space . Doklady

.

Doklady

**Akad**. Nauk SSSR 160 , 9–12 ( 1965 ) . ( 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.

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33 # 4680 , 792 ( 1967 ) . 6. Expansion in characteristic functions of a non -

selfadjoint differential operator with spectral singularities . Doklady

SSSR 149 , 256–259 ( 1963 ) . ( Russian ) Soviet Math . Dokl . 4 , 363–366 (

1963 ) . 7.

33 # 4680 , 792 ( 1967 ) . 6. Expansion in characteristic functions of a non -

selfadjoint differential operator with spectral singularities . Doklady

**Akad**. NaukSSSR 149 , 256–259 ( 1963 ) . ( Russian ) Soviet Math . Dokl . 4 , 363–366 (

1963 ) . 7.

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On the minimax principle for K - positive operators . Comment . Math . Univ .

Carolinae 7 , 109–112 ( 1966 ) . Markus , A. S. ( see also Gohberg , I. C. ) 1. The

root - vector expansion of a weakly perturbed self - adjoint operator . Doklady

On the minimax principle for K - positive operators . Comment . Math . Univ .

Carolinae 7 , 109–112 ( 1966 ) . Markus , A. S. ( see also Gohberg , I. C. ) 1. The

root - vector expansion of a weakly perturbed self - adjoint operator . Doklady

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

32 other sections not shown

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### Common terms and phrases

adjoint operator Amer analytic apply arbitrary assumed B-space Banach space belongs Boolean algebra Borel set boundary conditions bounded bounded operator Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension fact finite follows formal formula function given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear operator Math Moreover multiplicity norm perturbation plane positive preceding present problem projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type seen sequence shown shows similar solution spectral measure spectral operator spectrum subset sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero