Full metadata record
DC Field | Value | Language |
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dc.contributor.author | 박미례 | - |
dc.creator | 박미례 | - |
dc.date.accessioned | 2016-08-25T04:08:34Z | - |
dc.date.available | 2016-08-25T04:08:34Z | - |
dc.date.issued | 2002 | - |
dc.identifier.other | OAK-000000025380 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/181037 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000025380 | - |
dc.description.abstract | 이 논문에서는 어떤 작용소 T의 numerical range의 여러 가지 성질들에 대하여 공부한다. 특히, 3차원 공간상에서 작용소 T의 Jordan form에 대한 numerical range를 특성화 한다;In this paper, we study some properties of numerical range for any operator T . In particular, we focus on the numerical ranges of Jordan forms of an operator T on a 3-dimensional space. This characterization depends on the diagonalization of an operator T on a 3-dimensional space. In fact, if T ∈ M_(3) and T_(J) is the Jordan form of T , we show that W(T_(J)) = conv(σ(T_(J))) when T is diagonalizable. Moreover we calculate several forms of the numerical ranges of a non-diagonalizable operator. | - |
dc.description.tableofcontents | CONTENTS 1 INTRODUCTION = 1 2. PRELIMINARIES = 2 3. NUMERICAL RANGE OF THE JORDAN FORM OF A 3 × 3 MATRIX = 6 References = 20 | - |
dc.format | application/pdf | - |
dc.format.extent | 497402 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.subject | Jordan block | - |
dc.subject | 3-dimensional space | - |
dc.subject | 수학 | - |
dc.title | (The) numerical range of the Jordan block on 3-dimensional space | - |
dc.type | Master's Thesis | - |
dc.format.page | 20, [1] p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 2002. 8 | - |