Linear Operators, Part 2 |
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Page 26
... integral on the right , in general , has no meaning from the ordinary point of view . However , for an extensive and important class of functions y ( t ) , this integral may be given a definite sense , if the concept of the principal ...
... integral on the right , in general , has no meaning from the ordinary point of view . However , for an extensive and important class of functions y ( t ) , this integral may be given a definite sense , if the concept of the principal ...
Page 532
... Integral Equations, SpringerVerlag, Berlin, 1993. G. Vainikko, A. Pedes and P. Uba, Methods of Solving Weakly Singular Integral Equations (in Russian), Tartu University, 1984. G. Vainikko and P. Uba, A piecewise polynomial approximation ...
... Integral Equations, SpringerVerlag, Berlin, 1993. G. Vainikko, A. Pedes and P. Uba, Methods of Solving Weakly Singular Integral Equations (in Russian), Tartu University, 1984. G. Vainikko and P. Uba, A piecewise polynomial approximation ...
Page 1100
... integral, characteristic, 758 integral, characteristic, transposed, 758 integral, compactness, sufficient condition, 842 integral, continuous, 1066 integral, domain, 1066 integral, domain of definition, 1066 integral, eigenvalues, 867 ...
... integral, characteristic, 758 integral, characteristic, transposed, 758 integral, compactness, sufficient condition, 842 integral, continuous, 1066 integral, domain, 1066 integral, domain of definition, 1066 integral, eigenvalues, 867 ...
Contents
SPECTRAL OPERATORS | 1924 |
The Canonical Reduction of a Spectral Operator | 1939 |
Bounded Spectral Operators in Hilbert Space | 1947 |
Copyright | |
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Common terms and phrases
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