Linear Operators: Spectral operators |
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Results 1-3 of 65
Page 1916
... obtained in the first sections of Chapter XIX , but which can be proved under hypotheses which are considerably more general ; their proofs rest ultimately on the generalized Carleman inequalities of Chapter X. Chapter XX is devoted to ...
... obtained in the first sections of Chapter XIX , but which can be proved under hypotheses which are considerably more general ; their proofs rest ultimately on the generalized Carleman inequalities of Chapter X. Chapter XX is devoted to ...
Page 2103
... obtained by replacing 1 / λ by any function ƒ ( λ ) analytic for à in a neighborhood of the spectrum of the element a in A1 are extensions of the results to be found in IX.4.10 and IX.4.11 . The elementary Lemma 6 which permits these ...
... obtained by replacing 1 / λ by any function ƒ ( λ ) analytic for à in a neighborhood of the spectrum of the element a in A1 are extensions of the results to be found in IX.4.10 and IX.4.11 . The elementary Lemma 6 which permits these ...
Page 2176
... obtained . Similar results were also obtained by Dollinger [ 1 ] and Sine [ 1 ] under the hypothesis that T satisfies certain types of operational calculi , although their assumptions were quite different in nature . Stampfli [ 12 ] has ...
... obtained . Similar results were also obtained by Dollinger [ 1 ] and Sine [ 1 ] under the hypothesis that T satisfies certain types of operational calculi , although their assumptions were quite different in nature . Stampfli [ 12 ] has ...
Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
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Common terms and phrases
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