Linear Operators: Spectral operators |
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Page 2092
... Colojoară and Foiaş [ 4 ; p.5 ] showed that if ƒ is analytic and non - constant on every component of an open set containing o ( T ) , then ƒ ( T ) has the single valued extension property if and only if T does . In Colojoară and Foias ...
... Colojoară and Foiaş [ 4 ; p.5 ] showed that if ƒ is analytic and non - constant on every component of an open set containing o ( T ) , then ƒ ( T ) has the single valued extension property if and only if T does . In Colojoară and Foias ...
Page 2117
... Colojoară [ 1 , 2 ] and Maeda [ 5 ] and , in 1964 , by Kantorovitz [ 3 ] and Sine [ 1 ] . Since then a number of contributions have been made along this line ; see especially Apostol [ 3 , 4 , 5 , 9 , 11 , 15 ] , Colojoară [ 1 , 2 , 3 ...
... Colojoară [ 1 , 2 ] and Maeda [ 5 ] and , in 1964 , by Kantorovitz [ 3 ] and Sine [ 1 ] . Since then a number of contributions have been made along this line ; see especially Apostol [ 3 , 4 , 5 , 9 , 11 , 15 ] , Colojoară [ 1 , 2 , 3 ...
Page 2119
... Colojoară and Foias [ 4 ] ) that if U is a spectral distribution on C ( ) to B ( X ) and if qEC ( N ) , then U ( p ) is a generalized scalar operator with spectrum contained in the image , under q , of the support of U. In particular ...
... Colojoară and Foias [ 4 ] ) that if U is a spectral distribution on C ( ) to B ( X ) and if qEC ( N ) , then U ( p ) is a generalized scalar operator with spectrum contained in the image , under q , of the support of U. In particular ...
Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
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A₁ adjoint operator algebra of projections Amer arbitrary B*-algebra B₁ Boolean algebra Borel sets boundary conditions bounded linear operator bounded operator closed operator Colojoară commuting compact complex numbers complex plane contains converges Corollary countably additive Definition dense differential operator disjoint Doklady Akad E-measurable eigenvalues elements equation equivalent exists Foias follows from Theorem formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math matrix multiplicity norm operators in Hilbert perturbation polynomial PROOF proved quasi-nilpotent resolution restriction Russian S₁ satisfies scalar operator scalar type operator scalar type spectral Section semi-group sequence shows spectral measure spectral operator spectral theory spectrum strong operator topology subset subspace sufficiently type spectral operator unbounded unique vector weakly complete zero