Linear Operators: Spectral operators |
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Page 47
... corollaries. Definition 3.1.4: A corollary is a theorem that can be stated as a special case of a more general theorem. Note that a corollary is a theorem itself; however, it is reallyjust a special case of a particular theorem. Thus ...
... corollaries. Definition 3.1.4: A corollary is a theorem that can be stated as a special case of a more general theorem. Note that a corollary is a theorem itself; however, it is reallyjust a special case of a particular theorem. Thus ...
Page 84
... corollary is established . It is apparent that corollary 8 is a special case of the above . Corollary 11. If in corollary 2 the two straight lines are coincident we have the following : If different segments of the same straight line ...
... corollary is established . It is apparent that corollary 8 is a special case of the above . Corollary 11. If in corollary 2 the two straight lines are coincident we have the following : If different segments of the same straight line ...
Page 246
... Corollary alternative is inconsistent with the SIP and the Northgate project may produce elevated carbon monoxide levels in 1984. Because a project which is inconsistent with the SIP cannot be funded by a federal agency if it interferes ...
... Corollary alternative is inconsistent with the SIP and the Northgate project may produce elevated carbon monoxide levels in 1984. Because a project which is inconsistent with the SIP cannot be funded by a federal agency if it interferes ...
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