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 ( ƒ - 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 ( ƒ - 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 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
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Common terms and phrases
A₁ adjoint operator algebra of projections Amer arbitrary B*-algebra B₁ Boolean algebra Borel sets boundary conditions bounded linear operator bounded operator closed operator Colojoară commuting compact complex numbers complex plane contains converges Corollary countably additive Definition dense differential operator disjoint Doklady Akad E-measurable eigenvalues elements equation equivalent exists Foias follows from Theorem formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math matrix multiplicity norm operators in Hilbert perturbation polynomial PROOF proved quasi-nilpotent resolution restriction Russian S₁ satisfies scalar operator scalar type operator scalar type spectral Section semi-group sequence shows spectral measure spectral operator spectral theory spectrum strong operator topology subset subspace sufficiently type spectral operator unbounded unique vector weakly complete zero