Linear Operators: Spectral operators |
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Page 1925
... normal ) operators as developed in Chapters X and XII . The problem of extending this reduction theory to non - normal operators is one of the most important unsolved problems in the theory of linear operations . Consider , for instance ...
... normal ) operators as developed in Chapters X and XII . The problem of extending this reduction theory to non - normal operators is one of the most important unsolved problems in the theory of linear operations . Consider , for instance ...
Page 2516
... operators whose spectrum is a spectral set . Acta Sci . Math . Szeged 27 ... operators . Ukrain . Math Ž . 11 , 16-24 ( 1959 ) . ( Russian . English summary ) ... normal operators . J. London Math . Soc . 40 , 478-486 ( 1965 ) . 2 . The ...
... operators whose spectrum is a spectral set . Acta Sci . Math . Szeged 27 ... operators . Ukrain . Math Ž . 11 , 16-24 ( 1959 ) . ( Russian . English summary ) ... normal operators . J. London Math . Soc . 40 , 478-486 ( 1965 ) . 2 . The ...
Page 2538
... operators and their applications to scattering theory . Arch . Rat . Mech . Anal . 5 , 1–34 ( 1960 ) . 2 . On the ... normal operators in Hilbert spaces . Proc . Japan Acad . 37 , 464–468 ( 1961 ) . 2. Simplification of the canonical ...
... operators and their applications to scattering theory . Arch . Rat . Mech . Anal . 5 , 1–34 ( 1960 ) . 2 . On the ... normal operators in Hilbert spaces . Proc . Japan Acad . 37 , 464–468 ( 1961 ) . 2. Simplification of the canonical ...
Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
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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