Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 김경화 | - |
dc.contributor.author | 윤지선 | - |
dc.creator | 윤지선 | - |
dc.date.accessioned | 2016-08-25T10:08:57Z | - |
dc.date.available | 2016-08-25T10:08:57Z | - |
dc.date.issued | 2009 | - |
dc.identifier.other | OAK-000000051895 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/184599 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000051895 | - |
dc.description.abstract | 이 논문에서는 heminormal과 perinormal 작용소에 대해서 공부한다. 특히, binormal 작용소상에서는 k-hyponormal, hyponormal, semihyponormal 그리고 qusihyponormal 작용소가 동치임을 증명한다. 또한, heminormal 작용소의 거듭제곱과 양의 제곱근은 heminormal이 아님을 보인다. 마지막으로 perinormal의 몇 가지 성질을 공부한다.;In this thesis, we study heminormal and perinormal operators. In partic-ular, we show that if T ∈ L(H) is a binormal operator, then the following statements are equivalent; (1) an operator T is k-hyponormal for some positive integer k, (2) an operator T is hyponormal, (3) an operator T is semihyponormal, and (4) an operator T is quasihyponormal. Also, we show that some power and square root of a heminormal operator are not necessarily heminormal. Finally, we study some properties of perinormal operators. | - |
dc.description.tableofcontents | 1. Introduction = 1 2. Preliminaries = 3 3. Heminormal operator = 8 4. Perinormal operators = 22 References = 25 국문초록 = 27 | - |
dc.format | application/pdf | - |
dc.format.extent | 535049 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.title | Some properties of heminormal and perinormal operators | - |
dc.type | Master's Thesis | - |
dc.format.page | ⅱ, 27 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 2009. 2 | - |