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
... space we use the Hermitian rather than the pure 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 ...
... space we use the Hermitian rather than the pure 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 ...
Page 2514
... spaces and decomposable operators . Rev. Roumaine Math . Pures Appl . 12 , 607–610 ( 1967 ) . 16. Some properties of a couple of operators on a Banach space . Rev. Roumaine Math . Pures Appl . 12 , 1005–1010 ( 1967 ) . 17. On some ...
... spaces and decomposable operators . Rev. Roumaine Math . Pures Appl . 12 , 607–610 ( 1967 ) . 16. Some properties of a couple of operators on a Banach space . Rev. Roumaine Math . Pures Appl . 12 , 1005–1010 ( 1967 ) . 17. On some ...
Page 2567
... Banach spaces . Colloq . Math . 8 , 141-198 ( 1961 ) . Determinants in Banach spaces . Studia Math . ( Ser . Specjalna ) Zeszyt . 1 , 111-116 ( 1963 ) . Silberstein , J. P. O. 2. Symmetrisable operators , I - III . I. J. Austral . Math ...
... Banach spaces . Colloq . Math . 8 , 141-198 ( 1961 ) . Determinants in Banach spaces . Studia Math . ( Ser . Specjalna ) Zeszyt . 1 , 111-116 ( 1963 ) . Silberstein , J. P. O. 2. Symmetrisable operators , I - III . I. J. Austral . Math ...
Contents
SPECTRAL OPERATORS | 1924 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
The Algebras and | 1967 |
Copyright | |
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A₁ adjoint operator algebra of projections Amer analytic arbitrary B-algebra 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 denote dense differential operator Doklady Akad domain E₁ eigenvalues elements equation exists finite number follows from Lemma follows from Theorem formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math multiplicity Nauk SSSR norm operators in Hilbert perturbation polynomial PROOF properties prove quasi-nilpotent resolution Russian S₁ satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset subspace Suppose trace class type spectral operator unbounded uniformly bounded unique vector zero