Linear Operators: Spectral operators |
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Page 1960
... elements of Ho are , by definition , the finite ordered sets x [ x1 , x ] of p elements in H , and addition , scalar multiplication , and scalar products are defined in Ho in terms of the corresponding operations in H by the equations ...
... elements of Ho are , by definition , the finite ordered sets x [ x1 , x ] of p elements in H , and addition , scalar multiplication , and scalar products are defined in Ho in terms of the corresponding operations in H by the equations ...
Page 2265
... elements of B each having uniform multi- plicity . For each cardinal n let E , be the supremum of those FF with m ( F ) n . If 0GE ,, then G is the union of elements of B of multi- plicity n . Hence E , has uniform multiplicity n ...
... elements of B each having uniform multi- plicity . For each cardinal n let E , be the supremum of those FF with m ( F ) n . If 0GE ,, then G is the union of elements of B of multi- plicity n . Hence E , has uniform multiplicity n ...
Page 2512
... elements and adjoined elements of non- selfadjoint operators close to normal ones . Doklady Akad . Nauk SSSR 115 , 207-210 ( 1957 ) . ( Russian ) Math . Rev. 20 # 1227 , 205 ( 1959 ) . 2. On the completeness of systems of eigen - elements ...
... elements and adjoined elements of non- selfadjoint operators close to normal ones . Doklady Akad . Nauk SSSR 115 , 207-210 ( 1957 ) . ( Russian ) Math . Rev. 20 # 1227 , 205 ( 1959 ) . 2. On the completeness of systems of eigen - elements ...
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