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 ( A ) = 0 for each A。€ A. For application to compact operators later in the present section , we ...
... present section we shall illustrate this assertion by proving a number of results , due to Robert E. L. Turner ... present theorem in which ( A ) = 0 for each A。€ A. For application to compact operators later in the present section , we ...
Contents
SPECTRAL OPERATORS | 1924 |
Spectral Operators | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
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A₁ algebra Amer analytic applications arbitrary B-space Banach Banach space Boolean algebra Borel sets boundary bounded Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding defined Definition denote dense determined differential operator Doklady Akad elements equation equivalent established example exists extension finite follows formula function given gives H₁ Hence Hilbert space hypothesis identity integral invariant inverse Lemma limit linear operators Math multiplicity Nauk SSSR norm normal perturbation plane positive preceding present problem Proc projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type sequence shown shows similar spectral measure spectral operator spectrum subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero