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 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 |
An Operational Calculus for Bounded Spectral | 1941 |
Bounded Spectral Operators in Hilbert Space | 1947 |
Copyright | |
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Common terms and phrases
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 inverse Krein L₁ Lemma locally convex spaces multiplicity Nauk SSSR norm normal operators operators in Hilbert perturbation polynomial Proc PROOF properties prove Pure Appl quasi-nilpotent resolution Russian S₁ 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