Linear Operators: Spectral operators |
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Page 2535
... Math . 13 , 1187-1191 ( 1963 ) . Halberg , C. J. A. , Jr. , and Taylor , A. E. 1. On the spectra of linked operators . Pacific J. Math . 6 , 283-290 ( 1956 ) . Halmos , P. R. 3. Commutativity and spectral properties of normal operators ...
... Math . 13 , 1187-1191 ( 1963 ) . Halberg , C. J. A. , Jr. , and Taylor , A. E. 1. On the spectra of linked operators . Pacific J. Math . 6 , 283-290 ( 1956 ) . Halmos , P. R. 3. Commutativity and spectral properties of normal operators ...
Page 2560
... Math . Rev. 12 , 343 ( 1951 ) . 9 . On the expansion of arbitrary functions in terms of the eigenfunctions of the operator Au + cu . Mat . Sbornik N. S. 32 ( 74 ) , 109-156 ( 1953 ) ( Russian ) . Math . Rev. 14 , 755 ( 1953 ) ...
... Math . Rev. 12 , 343 ( 1951 ) . 9 . On the expansion of arbitrary functions in terms of the eigenfunctions of the operator Au + cu . Mat . Sbornik N. S. 32 ( 74 ) , 109-156 ( 1953 ) ( Russian ) . Math . Rev. 14 , 755 ( 1953 ) ...
Page 2567
... Math . 16 , 99–112 ( 1957 ) . Determinant systems . Studia Math . 18 , 161–186 ( 1959 ) . 5 . On Leżański endomorphisms . Studia Math . 18 , 187–189 ( 1959 ) . 6 . 7 . 8 . 9 . Remarks on Leżański's determinants . Studia Math . 20 , 145 ...
... Math . 16 , 99–112 ( 1957 ) . Determinant systems . Studia Math . 18 , 161–186 ( 1959 ) . 5 . On Leżański endomorphisms . Studia Math . 18 , 187–189 ( 1959 ) . 6 . 7 . 8 . 9 . Remarks on Leżański's determinants . Studia Math . 20 , 145 ...
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