Linear Operators: Spectral operators |
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Page 2118
... regular if it has a regular spectral distribution . Although it is not known whether or not every generalized scalar operator is regular ( unless the spectrum is sufficiently " thin " ) , given any two regular spectral distributions U ...
... regular if it has a regular spectral distribution . Although it is not known whether or not every generalized scalar operator is regular ( unless the spectrum is sufficiently " thin " ) , given any two regular spectral distributions U ...
Page 2158
... regular relative to T. Since the points regular relative to T are dense in To , there is an increasing sequence { y } of open subintervals of T。, each member of which has regular end points in the arc y ' complementary to y , and whose ...
... regular relative to T. Since the points regular relative to T are dense in To , there is an increasing sequence { y } of open subintervals of T。, each member of which has regular end points in the arc y ' complementary to y , and whose ...
Page 2344
... regular boundary conditions in the case of a second order differential operator . If the boundary conditions are ... regular , that the boundary conditions [ * ] are regular . ( b ) m1 = 0 , m2 ized form are - 0. In this case , the ...
... regular boundary conditions in the case of a second order differential operator . If the boundary conditions are ... regular , that the boundary conditions [ * ] are regular . ( b ) m1 = 0 , m2 ized form are - 0. In this case , 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