Linear Operators: Spectral operators |
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Page 1910
... spectral theory of Chapter XIII . The spectral theory for self adjoint operators had its single seed sown by B. Taylor's discussion of the vibrating string in 1713 , just about a quarter of a century after the publication of Newton's ...
... spectral theory of Chapter XIII . The spectral theory for self adjoint operators had its single seed sown by B. Taylor's discussion of the vibrating string in 1713 , just about a quarter of a century after the publication of Newton's ...
Page 2227
... spectral theory of Hermitian operators to ordinary and partial differential operators it is first necessary to extend the spectral theory of bounded operators to a theory of unbounded operators . The present chapter is an attempt to ...
... spectral theory of Hermitian operators to ordinary and partial differential operators it is first necessary to extend the spectral theory of bounded operators to a theory of unbounded operators . The present chapter is an attempt to ...
Page 2535
... spectral properties of normal operators . Acta Sci . Math . Szeged 12 Pars B , 153–156 ( 1950 ) . 6. Introduction to Hilbert space and the theory of spectral multiplicity . Chelsea , New York , 1951 . 11. Shifts on Hilbert spaces . J ...
... spectral properties of normal operators . Acta Sci . Math . Szeged 12 Pars B , 153–156 ( 1950 ) . 6. Introduction to Hilbert space and the theory of spectral multiplicity . Chelsea , New York , 1951 . 11. Shifts on Hilbert spaces . J ...
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