Linear Operators, Part 2 |
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Page 1905
... Equations By F. G. Tricomi Differential Equations : Geometric Theory By Solomon Lefshetz Linear Operators - Parts I , II , and III By Nelson Dunford and Jacob T. Schwartz Modern Geometrical Optics By Max Herzberger Orthogonal Functions ...
... Equations By F. G. Tricomi Differential Equations : Geometric Theory By Solomon Lefshetz Linear Operators - Parts I , II , and III By Nelson Dunford and Jacob T. Schwartz Modern Geometrical Optics By Max Herzberger Orthogonal Functions ...
Page 2373
... differential operators having eigenvalues = s2 determined by equations of the form sin s = ks . In this case the ... differential equations . THEOREM . Let T be an unbounded discrete self adjoint XIX.6 2373 NOTES AND REMARKS Notes ...
... differential operators having eigenvalues = s2 determined by equations of the form sin s = ks . In this case the ... differential equations . THEOREM . Let T be an unbounded discrete self adjoint XIX.6 2373 NOTES AND REMARKS Notes ...
Page 2517
... linear differential equations . Rend . Circ . Mat . Palermo 36 , 115-126 ( 1913 ) . Birkhoff , G. D. , and Langer , R. E. 1. The boundary problems and developments associated with a system of ordinary differential equations of the first ...
... linear differential equations . Rend . Circ . Mat . Palermo 36 , 115-126 ( 1913 ) . Birkhoff , G. D. , and Langer , R. E. 1. The boundary problems and developments associated with a system of ordinary differential equations of the first ...
Contents
SPECTRAL OPERATORS | 1924 |
The Canonical Reduction of a Spectral Operator | 1939 |
Bounded Spectral Operators in Hilbert Space | 1947 |
Copyright | |
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A₁ adjoint operator algebra of projections Amer analytic arbitrary B-algebra B*-algebra B₁ Banach space Boolean algebra Borel sets boundary conditions bounded Borel function bounded linear operator bounded operator closed operator commuting compact complex numbers complex plane converges Corollary countably additive Definition denote dense differential operator Doklady Akad domain eigenvalues elements equation exists finite number follows from Lemma formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math multiplicity Nauk SSSR norm operators in Hilbert perturbation polynomial PROOF properties prove quasi-nilpotent resolution Russian S₁ satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset subspace Suppose trace class type spectral operator unbounded uniformly bounded unique vector zero