Linear Operators: Spectral operators |
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Page 1909
... present the abstract . operator theory in the text , and then in the Notes and Remarks , especially in Section XX.6 , give the physical interpretations as well as a brief discussion of past and present related problems . The first ...
... present the abstract . operator theory in the text , and then in the Notes and Remarks , especially in Section XX.6 , give the physical interpretations as well as a brief discussion of past and present related problems . The first ...
Page 2058
... present state of the universe , tell with absolute certainty its exact state at any time , future or past . The obvious impossibility of the existence of an intelligence so superior that it could ascertain the initial conditions ( the ...
... present state of the universe , tell with absolute certainty its exact state at any time , future or past . The obvious impossibility of the existence of an intelligence so superior that it could ascertain the initial conditions ( the ...
Page 2227
... present chapter is an attempt to make the corresponding step in the theory of spectral operators . We begin by defining a closed spectral operator and its resolution of the identity , and showing that the latter is unique . Then a ...
... present chapter is an attempt to make the corresponding step in the theory of spectral operators . We begin by defining a closed spectral operator and its resolution of the identity , and showing that the latter is unique . Then a ...
Contents
SPECTRAL OPERATORS | 1924 |
14 | 1983 |
Sufficient Conditions | 2134 |
Copyright | |
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Common terms and phrases
A₁ adjoint operator algebra of projections Amer analytic arbitrary asymptotic B₁ Banach space Boolean algebra Borel set boundary conditions bounded Borel function bounded linear operator bounded operator commuting compact complete Boolean algebra complex numbers complex plane continuous functions converges Corollary countably additive Definition denote differential operator Doklady Akad domain E₁ eigenvalues elements equation exists finite number follows from Lemma follows from Theorem follows immediately formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality inverse L₁ Lebesgue Math multiplicity Nauk SSSR norm operators in Hilbert perturbation PROOF properties prove quasi-nilpotent resolution Russian satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset Suppose trace class type spectral operator unbounded uniformly bounded vector zero