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 84
Page 1951
... linear subspace of X , then the set of bounded linear operators A in X for which AX is a closed right ideal in B ( X ) . Thus the following statement is an immediate corollary of Theorem 2 . 5 COROLLARY . The ranges of S , N , and E ( o ) ...
... linear subspace of X , then the set of bounded linear operators A in X for which AX is a closed right ideal in B ( X ) . Thus the following statement is an immediate corollary of Theorem 2 . 5 COROLLARY . The ranges of S , N , and E ( o ) ...
Page 1960
... linear map A : x → y of HP into itself , it is easy to define a set a1 , of p2 bounded linear maps in 5 such that the equation y = Ax is equivalent to the system ( 4 ) . To see this , let A be a bounded linear map in 5o and let 5 , be ...
... linear map A : x → y of HP into itself , it is easy to define a set a1 , of p2 bounded linear maps in 5 such that the equation y = Ax is equivalent to the system ( 4 ) . To see this , let A be a bounded linear map in 5o and let 5 , be ...
Page 2532
... linear equations in normed spaces . Doklady Akad . Nauk SSSR 76 , 477–480 ( 1951 ) . ( Russian ) Math . Rev. 13 , 46 ( 1952 ) . Gohberg , I. C. , and Krein , M. G. 1 . 2 . On completely continuous quasinilpotent operators . Doklady Akad ...
... linear equations in normed spaces . Doklady Akad . Nauk SSSR 76 , 477–480 ( 1951 ) . ( Russian ) Math . Rev. 13 , 46 ( 1952 ) . Gohberg , I. C. , and Krein , M. G. 1 . 2 . On completely continuous quasinilpotent operators . Doklady Akad ...
Contents
SPECTRAL OPERATORS | 1924 |
The Spectrum of a Spectral Operator | 1955 |
The Algebras A and | 1966 |
Copyright | |
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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