## Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |

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Page 2514

Some properties of a couple of operators on a

Some properties of a couple of operators on a

**Banach**space . Rev. Roumaine Math . Pures Appl . 12 , 1005–1010 ( 1967 ) . 17. On some multiplication operators . Rev. Roumaine Math . Pures Appl . 13 , 911-913 ( 1968 ) .Page 2541

Operational calculus in

Operational calculus in

**Banach**algebras for algebra - valued functions . Trans . Amer . Math . Soc . 110 , 519–537 ( 1964 ) . 3. Classification of operators by means of the operational calculus . Bull . Amer . Math . Soc .Page 2563

Formulae of Fredholm type for compact linear operations on a general

Formulae of Fredholm type for compact linear operations on a general

**Banach**space . Proc . London Math . Soc . ( 3 ) 3 , 368-377 ( 1953 ) . 6. Operators with a Fredholm theory . J. London Math . Soc . 29 , 318,326 ( 1954 ) .### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

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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 defined Definition denote dense determined differential operator discrete 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