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 2519
... Amer . J. Math . 84 , 543-560 ( 1962 ) . 3. Invariant subspaces of non - self - adjoint transformations . Bull . Amer . Math . Soc . 69 , 587-590 ( 1963 ) . 4. Some Hilbert spaces of analytic functions . I. Trans . Amer . Math . Soc ...
... Amer . J. Math . 84 , 543-560 ( 1962 ) . 3. Invariant subspaces of non - self - adjoint transformations . Bull . Amer . Math . Soc . 69 , 587-590 ( 1963 ) . 4. Some Hilbert spaces of analytic functions . I. Trans . Amer . Math . Soc ...
Page 2535
... Amer . Math . Monthly 70 , 241-247 ( 1963 ) . 13. A glimpse into Hilbert space . Lectures on Modern Mathematics , Vol . 1 , pp . 1-22 . Wiley , New York , 1963 . 14 . 15 . 16 . Numerical ranges and normal dilations . Acta Sci . Math ...
... Amer . Math . Monthly 70 , 241-247 ( 1963 ) . 13. A glimpse into Hilbert space . Lectures on Modern Mathematics , Vol . 1 , pp . 1-22 . Wiley , New York , 1963 . 14 . 15 . 16 . Numerical ranges and normal dilations . Acta Sci . Math ...
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 ...
Contents
SPECTRAL OPERATORS | 1924 |
The Resolvent of a Spectral Operator | 1935 |
An Operational Calculus for Bounded Spectral | 1941 |
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