Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |
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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 , 8 ≤ 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 , 8 ≤ 1 of definition and which has the following properties . The equation ( −1 , 8 ) ( +1 , 8 ) holds for all 8 in the ...
Page 2497
... Assumption A may be stated , roughly and heuristically , as the assump- tion that no point eigenvalue of T + K lies in ... assumed to be real , so that the wave operator method is available . For improvements of this sort , together with ...
... Assumption A may be stated , roughly and heuristically , as the assump- tion that no point eigenvalue of T + K lies in ... assumed to be real , so that the wave operator method is available . For improvements of this sort , together with ...
Contents
SPECTRAL OPERATORS | 1924 |
The Spectrum of a Spectral Operator | 1955 |
The Algebras A and | 1966 |
Copyright | |
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A₁ Acad adjoint operator algebra of projections Amer analytic arbitrary B-algebra B-space B*-algebra B₁ Banach space Boolean algebra Borel sets boundary conditions bounded linear operator bounded operator closed operator commuting compact complex numbers complex plane converges Corollary countably additive Definition dense differential operator Dokl Doklady Akad eigenvalues elements equation exists formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis ibid identity inequality invariant subspaces inverse Krein L₁ Lemma locally convex spaces multiplicity Nauk SSSR nonselfadjoint norm normal operators operators in Hilbert perturbation Proc PROOF properties prove Pures Appl quasi-nilpotent resolution Russian satisfies scalar operator scalar type operator scalar type spectral Section semi-group sequence shows spectral measure spectral operator spectral theory spectrum subset Suppose topology trace class type spectral operator unbounded uniformly bounded vector zero