Linear Operators: Spectral operators |
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Page 1909
... theory forms an excellent introduction to the detailed study of the much more refined and complete theory of self adjoint operators in Hilbert space . It soon became evident , however , that the natural limitations imposed by size ...
... theory forms an excellent introduction to the detailed study of the much more refined and complete theory of self adjoint operators in Hilbert space . It soon became evident , however , that the natural limitations imposed by size ...
Page 2112
... theory of type 3 if for arbitrary open sets G1 , ... , G , which cover the complex plane , there exist closed linear subspaces M1 , ... , Mm , which span X , are invariant under T , and such that o ( T | M1 ) ≤ G1 , i = 1 , ... , n ...
... theory of type 3 if for arbitrary open sets G1 , ... , G , which cover the complex plane , there exist closed linear subspaces M1 , ... , Mm , which span X , are invariant under T , and such that o ( T | M1 ) ≤ G1 , i = 1 , ... , n ...
Page 2227
... theory of Hermitian operators to ordinary and partial differential operators it is first necessary to extend the spectral theory of bounded operators to a theory of unbounded operators . The present chapter is an attempt to make the ...
... theory of Hermitian operators to ordinary and partial differential operators it is first necessary to extend the spectral theory of bounded operators to a theory of unbounded operators . The present chapter is an attempt to make the ...
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