Linear Operators: Spectral operators |
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Page 1909
... present a number of important applica- tions of the general theory of spectral operators , whose discussion re ... present the abstract operator theory in the text , and then in the Notes and Remarks , especially in Section XX.6 , give ...
... present a number of important applica- tions of the general theory of spectral operators , whose discussion re ... present the abstract operator theory in the text , and then in the Notes and Remarks , especially in Section XX.6 , give ...
Page 2227
... present chapter is an attempt to make the corresponding step in the theory of spectral operators . We begin by defining a closed spectral operator and its resolution of the identity , and showing that the latter is unique . Then a ...
... present chapter is an attempt to make the corresponding step in the theory of spectral operators . We begin by defining a closed spectral operator and its resolution of the identity , and showing that the latter is unique . Then a ...
Page 2448
... present section we shall illustrate this assertion by proving a number of results , due to Robert E. L. Turner ... present theorem in which ŋ ( A ) = 0 for each A。€ A. For application to compact operators later in the present section ...
... present section we shall illustrate this assertion by proving a number of results , due to Robert E. L. Turner ... present theorem in which ŋ ( A ) = 0 for each A。€ A. For application to compact operators later in the present section ...
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