Linear Operators: Spectral operators |
From inside the book
Results 1-3 of 43
Page 1595
o'--- : o Other criteria for the determination of the essential spectrum are the
following: (9) Under the assumptions (a) and (b) of (5), and with the further
assumption that for all a | p(t)q(t)-loat - c. the essential spectrum of t is the entire
real axis.
o'--- : o Other criteria for the determination of the essential spectrum are the
following: (9) Under the assumptions (a) and (b) of (5), and with the further
assumption that for all a | p(t)q(t)-loat - c. the essential spectrum of t is the entire
real axis.
Page 1599
o Then the essential spectrum of r is the entire real axis (7.17). (30) In the interval
(0, b] assume that as t → 0, I I t - q(t) + 4t? + 4t” log” t —x- • then the essential
spectrum of t is void (Berkowitz [1]). Other conditions which allow the approximate
...
o Then the essential spectrum of r is the entire real axis (7.17). (30) In the interval
(0, b] assume that as t → 0, I I t - q(t) + 4t? + 4t” log” t —x- • then the essential
spectrum of t is void (Berkowitz [1]). Other conditions which allow the approximate
...
Page 1600
meets the essential spectrum of t (Hartman and Putnam [2]). (36) Suppose the
function q is twice differentiable, and let (Ž, u) be an open interval which does not
meet the essential spectrum of t but whose end points belong to the essential ...
meets the essential spectrum of t (Hartman and Putnam [2]). (36) Suppose the
function q is twice differentiable, and let (Ž, u) be an open interval which does not
meet the essential spectrum of t but whose end points belong to the essential ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
4 Exercises | 879 |
Copyright | |
52 other sections not shown
Other editions - View all
Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |
Common terms and phrases
adjoint extension adjoint operator algebra analytic B-algebra B-space Borel set boundary conditions boundary values bounded operator closed closure Cº(I coefficients compact operator complex numbers constant continuous function converges Corollary deficiency indices Definition denote dense domain eigenfunctions eigenvalues element equation essential spectrum Exercise exists finite dimensional follows from Lemma follows from Theorem follows immediately formal differential operator formally self adjoint formula Fourier function defined function f Hence Hilbert space Hilbert-Schmidt operator identity inequality infinity integral interval kernel Lemma Let f Let Q linearly independent mapping matrix measure neighborhood non-zero norm open set operators in Hilbert orthogonal orthonormal basis Plancherel's theorem positive preceding lemma prove real numbers satisfies sequence singular ſº solution spectral spectral theorem square-integrable subspace Suppose symmetric operator theory To(r To(t topology transform uniformly unique unitary vanishes vector zero