Asymptotic Behavior of Eigenvalues of Hankel Operators
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولAsymptotic distribution of eigenvalues of the elliptic operator system
Since the theory of spectral properties of non-self-accession differential operators on Sobolev spaces is an important field in mathematics, therefore, different techniques are used to study them. In this paper, two types of non-self-accession differential operators on Sobolev spaces are considered and their spectral properties are investigated with two different and new techniques.
متن کاملOn the asymptotic behavior of odd operators
We give quantitative versions of strong convergence results due to Baillon, Bruck and Reich for iterations of nonexpansive odd (and more general) operators in uniformly convex Banach spaces.
متن کاملAsymptotic Behavior of the Eigenvalues of Certain Integral Equations. 11
is non-negative, sufficiently regular, and does not tend to zero at in#nity faster than an inverse power of ~, then An' the nth largest eigenvalue of (1), is asymptotic to K(n n/2) as n-+ 00. (Note that although in (1) k (x) need only be defined for Ixl <2, it seems in the definition of K that k(x) is defined for all x. We shall explain this in a moment.) Here we shall see what happens when the...
متن کاملSmall eigenvalues of large Hankel matrices
In this paper we investigate the smallest eigenvalue, denoted as λN , of a (N+1)×(N+1) Hankel or moments matrix, associated with the weight, w(x) = exp(−xβ), x > 0, β > 0, in the large N limit. Using a previous result, the asymptotics for the polynomials, Pn(z), z / ∈ [0,∞), orthonormal with respect to w, which are required in the determination of λN are found. Adopting an argument of Szegö the...
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: International Mathematics Research Notices
سال: 2015
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnv048