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 1913
... Chapter XV . In the following chapter it is shown just how close these three properties come to being sufficient to ensure that an operator is a spectral operator . In order to concentrate our attention on the new concepts and avoid ...
... Chapter XV . In the following chapter it is shown just how close these three properties come to being sufficient to ensure that an operator is a spectral operator . In order to concentrate our attention on the new concepts and avoid ...
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 ...
Contents
SPECTRAL OPERATORS | 1924 |
Spectral Operators | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
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Common terms and phrases
A₁ adjoint operator 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 operators 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 sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero