Linear Operators: Spectral operators |
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Page 2005
... normal operators . Thus both of the operators in ( 57 ) are scalar type operators , and for any a and b in 2 , they are similar to normal operators . In the case of the operators ( 55 ) and ( 58 ) the situation is somewhat different ...
... normal operators . Thus both of the operators in ( 57 ) are scalar type operators , and for any a and b in 2 , they are similar to normal operators . In the case of the operators ( 55 ) and ( 58 ) the situation is somewhat different ...
Page 2516
... normal operators . J. London Math . Soc . 40 , 478-486 ( 1965 ) . 2 . The spectral theorem for unbounded normal operators . Pacific J. Math . 19 , 391-406 ( 1966 ) . 3. Extreme eigenvectors of a normal operator . Proc . Amer . Math ...
... normal operators . J. London Math . Soc . 40 , 478-486 ( 1965 ) . 2 . The spectral theorem for unbounded normal operators . Pacific J. Math . 19 , 391-406 ( 1966 ) . 3. Extreme eigenvectors of a normal operator . Proc . Amer . Math ...
Page 2538
... normal operators in Hilbert spaces . Proc . Japan Acad . 37 , 464–468 ( 1961 ) . 2. Simplification of the canonical spectral representation of a normal operator in Hilbert space and its applications . Mem . Fac . Educ . Kumamoto Univ ...
... normal operators in Hilbert spaces . Proc . Japan Acad . 37 , 464–468 ( 1961 ) . 2. Simplification of the canonical spectral representation of a normal operator in Hilbert space and its applications . Mem . Fac . Educ . Kumamoto Univ ...
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