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Positive Hankel Operators of Schatten p-classes : 샤텐 p-클래스의 양 항켈 작용소
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- Authors
- Advisor
- 이우영
- Major
- 자연과학대학 수리과학부
- Issue Date
- 2017-08
- Publisher
- 서울대학교 대학원
- 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
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