Linear Operators: Spectral operators |
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Page 2056
... assumed that man's fate was determined by himself but not by an act of free will . Plato ( 427-347 B.C. ) and Socrates ( 469-399 ? B.C. ) assumed that one's decisions were made for one's own good and thus in any situation a man's ...
... assumed that man's fate was determined by himself but not by an act of free will . Plato ( 427-347 B.C. ) and Socrates ( 469-399 ? B.C. ) assumed that one's decisions were made for one's own good and thus in any situation a man's ...
Page 2151
... assumed that there is a function § = $ ( t , 8 ) which is twice continuously differentiable on its domain -1≤t , d ≤ 1 of definition and which has the following properties . The equation ( -1 , 8 ) ( +1,8 ) holds for all 8 in the ...
... assumed that there is a function § = $ ( t , 8 ) which is twice continuously differentiable on its domain -1≤t , d ≤ 1 of definition and which has the following properties . The equation ( -1 , 8 ) ( +1,8 ) holds for all 8 in the ...
Page 2250
... assuming that E ( f - 1 ( q ' ) ) = I. This amounts to taking U = q ' , that is , to assuming that , even if ƒ is ... assumed that x is in D ( h ( T ) ) , all these steps may be reversed , and it may be concluded 2250 XVIII.2.24 XVIII ...
... assuming that E ( f - 1 ( q ' ) ) = I. This amounts to taking U = q ' , that is , to assuming that , even if ƒ is ... assumed that x is in D ( h ( T ) ) , all these steps may be reversed , and it may be concluded 2250 XVIII.2.24 XVIII ...
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