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 1909
... present a number of important applica- tions of the general theory of spectral operators , whose discussion re ... present the abstract operator theory in the text , and then in the Notes and Remarks , especially in Section XX.6 , give ...
... present a number of important applica- tions of the general theory of spectral operators , whose discussion re ... present the abstract operator theory in the text , and then in the Notes and Remarks , especially in Section XX.6 , give ...
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 2448
... present section we shall illustrate this assertion by proving a number of results , due to Robert E. L. Turner ... present theorem in which ŋ ( A 。) = 0 for each A。€ A. For application to compact operators 0 later in the present ...
... present section we shall illustrate this assertion by proving a number of results , due to Robert E. L. Turner ... present theorem in which ŋ ( A 。) = 0 for each A。€ A. For application to compact operators 0 later in the present ...
Contents
SPECTRAL OPERATORS | 1924 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
The Algebras and | 1967 |
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 linear operator bounded operator closed operator commuting compact complex numbers complex plane converges Corollary countably additive Definition denote dense differential operator Doklady Akad domain E₁ eigenvalues elements equation exists finite number follows from Lemma follows from Theorem 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