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 2313
... Banach space adjoint , contrary to our practice in other Banach spaces . This has the effect of introducing complex conjugates in many of the Hilbert - space formulas where the corresponding Banach - space formulas do not have complex ...
... Banach space adjoint , contrary to our practice in other Banach spaces . This has the effect of introducing complex conjugates in many of the Hilbert - space formulas where the corresponding Banach - space formulas do not have complex ...
Page 2528
... Banach spaces . Amer . J. Math . 82 , 260- 270 ( 1960 ) . 7. Computations of the multiplicity function . Pacific J. Math . 10 , 539-546 ( 1960 ) . 8. On a paper of A. Feldzamen . Israel J. Math . 1 , 133-138 ( 1963 ) . 9 . Powers of a ...
... Banach spaces . Amer . J. Math . 82 , 260- 270 ( 1960 ) . 7. Computations of the multiplicity function . Pacific J. Math . 10 , 539-546 ( 1960 ) . 8. On a paper of A. Feldzamen . Israel J. Math . 1 , 133-138 ( 1963 ) . 9 . Powers of a ...
Page 2544
... Banach space . Amer . J. Math . 78 , 42-50 ( 1956 ) . 6. Convolution operators that satisfy the spectral theorem . Math . Zeit . 70 , 446-462 ( 1959 ) . 7. Vaguely normal operators on a Banach space . Arch . Rat . Mech . Anal . 3 , 51 ...
... Banach space . Amer . J. Math . 78 , 42-50 ( 1956 ) . 6. Convolution operators that satisfy the spectral theorem . Math . Zeit . 70 , 446-462 ( 1959 ) . 7. Vaguely normal operators on a Banach space . Arch . Rat . Mech . Anal . 3 , 51 ...
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