## Linear Operators: Spectral operators |

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Page 2130

For an exposition of ordered topological vector

For an exposition of ordered topological vector

**spaces**, we refer the reader to the books of Day ... If X is a real**B**-**space**which is ordered by S , let X ...Page 2193

Q.E.D. The preceding corollary is not true if the Hilbert

Q.E.D. The preceding corollary is not true if the Hilbert

**space**is replaced by an arbitrary**B**-**space**, for it has been shown by Kakutani [ 15 ] that the ...Page 2484

S - 0 Eie Let H be a Hilbert

S - 0 Eie Let H be a Hilbert

**space**, and let**B**( H ) be the**B**-**space**of all bounded operators in H. Let C ( s , t ) be a**B**( H ) -valued function defined ...### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

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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