Linear Operators: Spectral operators |
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Page 2113
... Foias [ 12 ] and Colojoară and Foias [ 1 , 4 ] . See also Apostol [ 4 , 5 , 11 , 15 ] , Colojoară and Foiaş [ 2 , 5 ] , Kariotis [ 1 ] , and Vasilescu [ 3 , 4 , 5 , 6 , 7 , 8 ] for other results concerning decomposable operators ...
... Foias [ 12 ] and Colojoară and Foias [ 1 , 4 ] . See also Apostol [ 4 , 5 , 11 , 15 ] , Colojoară and Foiaş [ 2 , 5 ] , Kariotis [ 1 ] , and Vasilescu [ 3 , 4 , 5 , 6 , 7 , 8 ] for other results concerning decomposable operators ...
Page 2117
... Foias [ 7 ] which appeared in 1960. This research was followed , in 1962 , by papers of Colojoară [ 1 , 2 ] and ... Foias [ 1 , 2 , 3 ] , Foias [ 9 , 10 , 11 , 13 ] , Ionescu Tulcea [ 5 ] , Kantorovitz [ 3 , 5 , 6 , 7 , 8 , 9 ] , Maeda ...
... Foias [ 7 ] which appeared in 1960. This research was followed , in 1962 , by papers of Colojoară [ 1 , 2 ] and ... Foias [ 1 , 2 , 3 ] , Foias [ 9 , 10 , 11 , 13 ] , Ionescu Tulcea [ 5 ] , Kantorovitz [ 3 , 5 , 6 , 7 , 8 , 9 ] , Maeda ...
Page 2529
... Foias , C. , and Gehér , L. 1 . Über die Weylsche Vertauschungsrelation . Acta . Sci . Math . Szeged 24 , 97-102 ( 1963 ) . Foias , C. , and Lions , J. L. 1. Sur certains théorèmes d'interpolation . Acta Sci . Math . Szeged 22 , 269–282 ...
... Foias , C. , and Gehér , L. 1 . Über die Weylsche Vertauschungsrelation . Acta . Sci . Math . Szeged 24 , 97-102 ( 1963 ) . Foias , C. , and Lions , J. L. 1. Sur certains théorèmes d'interpolation . Acta Sci . Math . Szeged 22 , 269–282 ...
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