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 2029
... determined by a bounded finitely additive set function v ( defined on some field of sets in RN which includes the open sets ) by the equation ( 48 ) Ф T1 ( q ) = √__q ( s ) v ( ds ) , RN ΚΕΦ . Similarly , functions on RN may determine ...
... determined by a bounded finitely additive set function v ( defined on some field of sets in RN which includes the open sets ) by the equation ( 48 ) Ф T1 ( q ) = √__q ( s ) v ( ds ) , RN ΚΕΦ . Similarly , functions on RN may determine ...
Page 2371
... determined by the particular boundary conditions imposed . Tamarkin [ 3 ; Theorem 12 ] established a generalization of the following equiconvergence theorem , which had been demonstrated pre- viously in the second order case by W ...
... determined by the particular boundary conditions imposed . Tamarkin [ 3 ; Theorem 12 ] established a generalization of the following equiconvergence theorem , which had been demonstrated pre- viously in the second order case by W ...
Page 2373
... determine discrete differential operators having eigenvalues = 82 determined by equations of the form sin s = ks . In this case the eigenvalues are located asymptotically at the points an2 + ibn In n + ... , the ratio of a and b being ...
... determine discrete differential operators having eigenvalues = 82 determined by equations of the form sin s = ks . In this case the eigenvalues are located asymptotically at the points an2 + ibn In n + ... , the ratio of a and b being ...
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