Browse

Positive Hankel Operators of Schatten p-classes
샤텐 p-클래스의 양 항켈 작용소

Cited 0 time in Web of Science Cited 0 time in Scopus
Authors
이기원
Advisor
이우영
Major
자연과학대학 수리과학부
Issue Date
2017-08
Publisher
서울대학교 대학원
Keywords
Hamburger moment problemCarleson measureHankel operatorSchatten p-claases
Description
학위논문 (석사)-- 서울대학교 대학원 자연과학대학 수리과학부, 2017. 8. 이우영.
Abstract
In this thesis, we consider positive Hankel operators of Schatten p-classes. It was known that for every positive semidefinite Hankel operator $\mathnormal{H}_{\mu} =(\mu_{j+k})_{j,k\ge0}$, $\mathnormal{H}_{\mu}$ is bounded if and only if $
\mu_{n}
(1+n)$ is bounded, and that $\mathnormal{H}_{\mu}$ is compact if and only if $
(1+n)\to 0$. The main result of this thesis is that a general bounded positive semidefinite $\mathnormal{H}_{\mu}$ is of Schatten p-class if and only if $\sum_{n=0}^{\infty}(n+1)^{p-1}
^p<\infty$.
Language
English
URI
https://hdl.handle.net/10371/138081
Files in This Item:
Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Master's Degree_수리과학부)
  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse