Linear Operators: Spectral operators |
From inside the book
Results 1-3 of 6
Page 2283
... metric space and hence separable in the X - topology . Thus m ( E * ) ≤ N。 and from the definition of the projections F it is seen that E * can have no part of finite nonzero multiplicity . Q.E.D. n We shall now discuss a problem of ...
... metric space and hence separable in the X - topology . Thus m ( E * ) ≤ N。 and from the definition of the projections F it is seen that E * can have no part of finite nonzero multiplicity . Q.E.D. n We shall now discuss a problem of ...
Page 2518
... metric . Magyar Tud . Akad . Mat . Kutató Int . Közl . 8 , 201-212 ( 1963 ) . ( Russian . English summary ) Math . Rev. 29 # 2644 , 513 ( 1965 ) . 3. Non - negativity properties of operators in spaces with indefinite metric . Ann . Acad ...
... metric . Magyar Tud . Akad . Mat . Kutató Int . Közl . 8 , 201-212 ( 1963 ) . ( Russian . English summary ) Math . Rev. 29 # 2644 , 513 ( 1965 ) . 3. Non - negativity properties of operators in spaces with indefinite metric . Ann . Acad ...
Page 2539
... metric . Uspehi Mat . Nauk 17 ( 106 ) , 127–133 ( 1962 ) . ( Russian ) Math . Rev. 28 # 468 , 98 ( 1964 ) . 2. Operators with completely continuous iterations . Doklady Akad . Nauk SSSR 153 , 258–261 ( 1963 ) . ( Russian ) Math . Rev ...
... metric . Uspehi Mat . Nauk 17 ( 106 ) , 127–133 ( 1962 ) . ( Russian ) Math . Rev. 28 # 468 , 98 ( 1964 ) . 2. Operators with completely continuous iterations . Doklady Akad . Nauk SSSR 153 , 258–261 ( 1963 ) . ( Russian ) Math . Rev ...
Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
Copyright | |
22 other sections not shown
Other editions - View all
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