Linear Operators: Spectral operators |
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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 ...
Page 2548
... Amer . Math . Soc . Transl . ( 2 ) 40 , 193–228 . Lindenstrauss , J. ( see also Bonsall , F. F. ) 1. Extension of compact operators . Memoirs Amer . Math . Soc . 48 , 1964 . Lindenstrauss , J. , and Pełczyński , A. 1. Absolutely summing ...
... Amer . Math . Soc . Transl . ( 2 ) 40 , 193–228 . Lindenstrauss , J. ( see also Bonsall , F. F. ) 1. Extension of compact operators . Memoirs Amer . Math . Soc . 48 , 1964 . Lindenstrauss , J. , and Pełczyński , A. 1. Absolutely summing ...
Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
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Common terms and phrases
A₁ adjoint operator algebra of projections Amer arbitrary B*-algebra B₁ Boolean algebra Borel sets boundary conditions bounded linear operator bounded operator closed operator Colojoară commuting compact complex numbers complex plane contains converges Corollary countably additive Definition dense differential operator disjoint Doklady Akad E-measurable eigenvalues elements equation equivalent exists Foias follows from Theorem formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math matrix multiplicity norm operators in Hilbert perturbation polynomial PROOF proved quasi-nilpotent resolution restriction Russian S₁ satisfies scalar operator scalar type operator scalar type spectral Section semi-group sequence shows spectral measure spectral operator spectral theory spectrum strong operator topology subset subspace sufficiently type spectral operator unbounded unique vector weakly complete zero