Linear Operators: Spectral operators |
From inside the book
Results 1-3 of 6
Page 1957
... spectrum of S. since , according to Theorem 3 , S. , being of finite type , has no residual spectrum . Q.E.D. In Theorem 3 the requirement that the spectral operator be of finite type is quite essential . The following elementary ...
... spectrum of S. since , according to Theorem 3 , S. , being of finite type , has no residual spectrum . Q.E.D. In Theorem 3 the requirement that the spectral operator be of finite type is quite essential . The following elementary ...
Page 2258
... spectrum o ( S ) which is the disjoint union of a finite set { λ1 , ... , λn } of points and of a set which is contained ... spectrum { 1 , ... , An } lends no essential com- plication to the situation at hand , so that , without loss of ...
... spectrum o ( S ) which is the disjoint union of a finite set { λ1 , ... , λn } of points and of a set which is contained ... spectrum { 1 , ... , An } lends no essential com- plication to the situation at hand , so that , without loss of ...
Page 2565
... essential spectrum . Bull . Amer . Math . Soc . 71 , 365-367 ( 1965 ) . 2. On the essential spectrum of an arbitrary operator I. J. Math . Anal . Appl . 13 , 205-215 ( 1966 ) . Schreiber , M. 2. Unitary dilations of operators . Duke ...
... essential spectrum . Bull . Amer . Math . Soc . 71 , 365-367 ( 1965 ) . 2. On the essential spectrum of an arbitrary operator I. J. Math . Anal . Appl . 13 , 205-215 ( 1966 ) . Schreiber , M. 2. Unitary dilations of operators . Duke ...
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