Linear Operators: Spectral operators |
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Page 2516
... Amer . Math . Monthly 70 , 1049-1051 ( 1963 ) . A note on operators whose spectrum is a spectral set . Acta Sci . Math . Szeged 27 , 201-203 ( 1966 ) . 4. Notes on spectral theory . Van Nostrand Math . Studies 5 , Princeton , 1966 ...
... Amer . Math . Monthly 70 , 1049-1051 ( 1963 ) . A note on operators whose spectrum is a spectral set . Acta Sci . Math . Szeged 27 , 201-203 ( 1966 ) . 4. Notes on spectral theory . Van Nostrand Math . Studies 5 , Princeton , 1966 ...
Page 2519
... Amer . J. Math . 84 , 543-560 ( 1962 ) . 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 . 106 ...
... Amer . J. Math . 84 , 543-560 ( 1962 ) . 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 . 106 ...
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 |
14 | 1983 |
Sufficient Conditions | 2134 |
Copyright | |
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A₁ adjoint operator algebra of projections Amer analytic arbitrary asymptotic B₁ Banach space Boolean algebra Borel set boundary conditions bounded Borel function bounded linear operator bounded operator commuting compact complete Boolean algebra complex numbers complex plane continuous functions converges Corollary countably additive Definition denote differential operator Doklady Akad domain E₁ eigenvalues elements equation exists finite number follows from Lemma follows from Theorem follows immediately formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality inverse L₁ Lebesgue Math multiplicity Nauk SSSR norm operators in Hilbert perturbation PROOF properties prove quasi-nilpotent resolution Russian satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset Suppose trace class type spectral operator unbounded uniformly bounded vector zero