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 2107
... ( partially ) ordered spaces by Schaefer [ 7 , 10 , 11 ] , Schaefer and Walsh [ 1 ] , and Walsh [ 1 , 2 , 3 ] . We shall give ... ( partial ) order in A with respect to which μ is a positive measure . Thus every spectral measure on X to A is ...
... ( partially ) ordered spaces by Schaefer [ 7 , 10 , 11 ] , Schaefer and Walsh [ 1 ] , and Walsh [ 1 , 2 , 3 ] . We shall give ... ( partial ) order in A with respect to which μ is a positive measure . Thus every spectral measure on X to A is ...
Page 2443
... partial derivatives of all orders up to the second everywhere in the interior of D , and that these derivatives may be extended continuously to the whole of D ; ( ii ) g ( x , x ) > 0 for 0 ≤ x ≤ 1 , and S. g ( x , x ) dx = c . Then ...
... partial derivatives of all orders up to the second everywhere in the interior of D , and that these derivatives may be extended continuously to the whole of D ; ( ii ) g ( x , x ) > 0 for 0 ≤ x ≤ 1 , and S. g ( x , x ) dx = c . Then ...
Page 2534
... partial differential operators . Bull . Amer . Math . Soc . 70 , 517-521 ( 1964 ) . Grothendieck , A. 3. Produits tensoriels topologiques et espaces nucléaires . Memoirs Amer . Math . Soc . no . 16 , 1955 . 6. The trace of certain ...
... partial differential operators . Bull . Amer . Math . Soc . 70 , 517-521 ( 1964 ) . Grothendieck , A. 3. Produits tensoriels topologiques et espaces nucléaires . Memoirs Amer . Math . Soc . no . 16 , 1955 . 6. The trace of certain ...
Contents
SPECTRAL OPERATORS | 1924 |
An Operational Calculus for Bounded Spectral | 1941 |
Bounded Spectral Operators in Hilbert Space | 1947 |
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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 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