Linear Operators: Spectral operators |
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Page 1912
... Chapter XV should be familiar with the elementary topics of algebra and point set topology found in Chapter I , the three basic principles of Chapter II , and the elementary properties of the theory of integration with respect to a ...
... Chapter XV should be familiar with the elementary topics of algebra and point set topology found in Chapter I , the three basic principles of Chapter II , and the elementary properties of the theory of integration with respect to a ...
Page 1915
... Chapter XX which have important applications to some of the most difficult problems of contemporary atomic physics , we give a proof independent of the earlier results of Chapter XVI . This was possible since it concerns a type of ...
... Chapter XX which have important applications to some of the most difficult problems of contemporary atomic physics , we give a proof independent of the earlier results of Chapter XVI . This was possible since it concerns a type of ...
Page 1916
... 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 applications of the general theory ...
... 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 applications of the general theory ...
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