## Linear Operators: Spectral operators |

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Page 2130

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. K = { x €

V0 3 x } is called the

satisfies ( i ) K + K SK , ( ii ) AK S K for all de R , 120 , and ( iii ) Kn ( - K ) = { 0 } .

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. K = { x €

V0 3 x } is called the

**positive**cone of V ( with respect to S ) ; it is easy to see that Ksatisfies ( i ) K + K SK , ( ii ) AK S K for all de R , 120 , and ( iii ) Kn ( - K ) = { 0 } .

Page 2564

2 . A remark on the Volterra operator . J . Math . Anal . Appl . 12 , 244 – 246 (

1965 ) . 3 . Invariant subspaces and unstarred operator algebras . Pacific J . Math

. 17 , 511 - 517 ( 1966 ) . Sasser , D . W . 1 . Quasi -

2 . A remark on the Volterra operator . J . Math . Anal . Appl . 12 , 244 – 246 (

1965 ) . 3 . Invariant subspaces and unstarred operator algebras . Pacific J . Math

. 17 , 511 - 517 ( 1966 ) . Sasser , D . W . 1 . Quasi -

**positive**operators .Page 2565

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. 13 . Eine

Eine Bemerkung zur Existenz invarianter Teilräume linearer Abbildungen . Math .

Zeit . 82 , 90 ( 1963 ) . On the point spectrum of

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. 13 . Eine

Eine Bemerkung zur Existenz invarianter Teilräume linearer Abbildungen . Math .

Zeit . 82 , 90 ( 1963 ) . On the point spectrum of

**positive**operators . Proc . Amer .### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS | 1924 |

An Operational Calculus for Bounded Spectral | 1941 |

Part | 1950 |

Copyright | |

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### Common terms and phrases

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