The spectrum of a linear operator under perturbation by certain compact operators
نویسندگان
چکیده
منابع مشابه
Spectrum Asymptotics of Airy’s Operator under Perturbation
We study the eigenvalue problem of perturbed Airy operator −4 + (x + V (x)) on positive real axis, with Dirichlet boundary condition. Given the asymptotic expansion of V (x) at +∞, we provide asymptotic expansion of the eigenvalues λn to certain order. Then we will provide an example to show that in general, merely from the asymptotic expansion of V (x), the asymptotic expansion of λn cannot be...
متن کاملOn a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator
In this paper we obtain coefficient characterization, extreme points and distortion bounds for the classes of harmonic $p-$valent functions defined by certain modified operator. Some of our results improve and generalize previously known results.
متن کاملCompact composition operators on certain analytic Lipschitz spaces
We investigate compact composition operators on ceratin Lipschitzspaces of analytic functions on the closed unit disc of the plane.Our approach also leads to some results about compositionoperators on Zygmund type spaces.
متن کاملSpectrum and essential spectrum of linear combinations of composition operators on the Hardy space H2
Let -----. For an analytic self-map --- of --- , Let --- be the composition operator with composite map --- so that ----. Let --- be a bounded analytic function on --- . The weighted composition operator --- is defined by --- . Suppose that --- is the Hardy space, consisting of all analytic functions defined on --- , whose Maclaurin cofficients are square summable. .....
متن کاملon a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator
in this paper we obtain coefficient characterization, extreme points and distortion bounds for the classes of harmonic $p-$valent functions defined by certain modified operator. some of our results improve and generalize previously known results.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1969
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1969-0246157-x