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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Results 1-3 of 52
Page 1912
... Chapter XV should be familiar with the elementary topics of algebra and point set . topology found in Chapter I , the three basic principles of Chapter II , and the elementary properties of the theory of integration with respect to a ...
... Chapter XV should be familiar with the elementary topics of algebra and point set . topology found in Chapter I , the three basic principles of Chapter II , and the elementary properties of the theory of integration with respect to a ...
Page 1915
... Chapter XX which have important applications to some of the most difficult problems of contemporary atomic physics , we give a proof independent of the earlier results of Chapter XVI . This was possible since it concerns a type of ...
... Chapter XX which have important applications to some of the most difficult problems of contemporary atomic physics , we give a proof independent of the earlier results of Chapter XVI . This was possible since it concerns a type of ...
Page 1916
... Chapter XIX , but which can be proved under hypotheses which are considerably more general ; their proofs rest ultimately on the generalized Carleman inequalities of Chapter X. Chapter XX is devoted to applications of the general theory ...
... Chapter XIX , but which can be proved under hypotheses which are considerably more general ; their proofs rest ultimately on the generalized Carleman inequalities of Chapter X. Chapter XX is devoted to applications of the general theory ...
Contents
SPECTRAL OPERATORS | 1924 |
The Spectrum of a Spectral Operator | 1955 |
The Algebras A and | 1966 |
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 invariant subspaces inverse Krein L₁ Lemma locally convex spaces multiplicity Nauk SSSR nonselfadjoint norm normal operators operators in Hilbert perturbation Proc PROOF properties prove Pures Appl quasi-nilpotent resolution Russian 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