Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 고응일 | - |
dc.contributor.author | 정주연 | - |
dc.creator | 정주연 | - |
dc.date.accessioned | 2016-08-26T12:08:42Z | - |
dc.date.available | 2016-08-26T12:08:42Z | - |
dc.date.issued | 2012 | - |
dc.identifier.other | OAK-000000069503 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/189732 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000069503 | - |
dc.description.abstract | 본 논문에서는 2-expansive 작용소를 공부한다. 먼저 unilateral weighted shift가 2-expansive 작용소가 되는 필요충분조건을 구한다. 이 결과로부터 2-expansivity에 관한 여러 가지 예제들을 제공한다. 또한 2-expansive 작용소의 모든 거듭제곱이 2-expansive가 됨을 보인다. 더 나아가 2-expansive 작용소의 스펙트럼에 관한 성질들을 제공한다. 특히, 작용소 T가 2-expansive이면 T가 유니터리이거나 스펙트럼이 닫힌 단위 원판이 됨을 증명한다. 따름정리로써 모든 2-expansive 작용소가 isoloid임을 보인다.;In this thesis, we study 2-expansive operators. We first obtain an equivalent condition for unilateral weighted shifts to be 2-expansive. From this consequence, we provide several examples concerning 2-expansivity. We also show that every power of a 2-expansive operator is again 2-expansive. Furthermore, we give some spectral properties of 2-expansive operators. In particular, we verify that if T∈L(H) is 2-expansive, then either T is unitary or σ(T) = cl(D), where D denotes the open unit disk in C. As a corollary, we get that every 2-expansive operator is isoloid. | - |
dc.description.tableofcontents | 1. Introduction 1 2. Preliminaries 3 3. 2-Expansive weighted shifts 7 4. 2-Expansive operators 12 References 24 | - |
dc.format | application/pdf | - |
dc.format.extent | 460814 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.title | Some properties of 2-expansive operators | - |
dc.type | Master's Thesis | - |
dc.creator.othername | Chung, Joo yeon | - |
dc.format.page | ii, 25 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 2012. 2 | - |