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 2534
... 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 operators . Studia Math . 20 , 141–143 ( 1961 ) ...
... 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 operators . Studia Math . 20 , 141–143 ( 1961 ) ...
Page 2541
... Amer . Math . Soc . 12 , 93-98 ( 1961 ) . Théorème de Titchmarsh sur la convolution et opérateurs de Volterra . Séminare d'Analyse , dirigé par P. Lelong 1962/63 . Paris , 1963 . Direct proofs of spectral representation theorems . J ...
... Amer . Math . Soc . 12 , 93-98 ( 1961 ) . Théorème de Titchmarsh sur la convolution et opérateurs de Volterra . Séminare d'Analyse , dirigé par P. Lelong 1962/63 . Paris , 1963 . Direct proofs of spectral representation theorems . J ...
Page 2565
... Amer . Math . Soc . 68 , 509- 511 ( 1962 ) . Schäffer , J. J. ( see also Halmos , P. R. ) 3. More about invertible operators without roots . Proc . Amer . Math . Soc . 16 , 213- 219 ( 1965 ) . Schatten , R. 2. Norm ideals of completely ...
... Amer . Math . Soc . 68 , 509- 511 ( 1962 ) . Schäffer , J. J. ( see also Halmos , P. R. ) 3. More about invertible operators without roots . Proc . Amer . Math . Soc . 16 , 213- 219 ( 1965 ) . Schatten , R. 2. Norm ideals of completely ...
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