| DC 欄位 |
值 |
語言 |
| DC.contributor | 數學系 | zh_TW |
| DC.creator | 李佳萍 | zh_TW |
| DC.creator | Chia-Ping Li | en_US |
| dc.date.accessioned | 2004-6-2T07:39:07Z | |
| dc.date.available | 2004-6-2T07:39:07Z | |
| dc.date.issued | 2004 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=91221005 | |
| dc.contributor.department | 數學系 | zh_TW |
| DC.description | 國立中央大學 | zh_TW |
| DC.description | National Central University | en_US |
| dc.description.abstract | 在此論文中，我們探討「正規壓縮算子」與「正規延拓算子」的性質。在「正規壓縮算子的數值域」（參考文獻８）中有如下的結果：『對於ｎ＋１階正規矩陣Ｎ的兩個ｎ階正規壓縮算子Ａ與Ｂ，Ａ與Ｂ么正等價，若且唯若，Ａ與Ｂ的所有特徵值都相同（包含重根）』。這篇論文的主要目地則是將上述結果推廣，並分成Ｎ是么正矩陣與Ｎ是正規矩陣兩種情形來探討。當Ｎ是么正矩陣時，Ａ與Ｂ么正等價，若且唯若，Ａ與Ｂ有超過半數的特徵值相同（包含重根）；當Ｎ是正規矩陣時，Ａ與Ｂ么正等價，若且唯若，Ａ與Ｂ有ｎ－１個特徵值相同（包含重根）。 | zh_TW |
| dc.description.abstract | In this thesis, we have two main results. First, we present the n-dimensional compressions of an (n+1)- dimensional unitary matrix are determined, up to unitary equivalence, by only half of their eigenvalues (counting multiplities). Second, we present the n-dimensional compressions of an (n+1)- dimensional normal matrix are determined, up to unitary equivalence, by their n-1 eigenvalues (counting multiplities). | en_US |
| DC.subject | 正規延拓算子 | zh_TW |
| DC.subject | 正規壓縮算子 | zh_TW |
| DC.subject | Normal Compressions | en_US |
| DC.subject | Normal Dilations | en_US |
| DC.title | 正規壓縮算子與正規延拓算子 | zh_TW |
| dc.language.iso | zh-TW | zh-TW |
| DC.title | Normal Compressions and Normal Dilations | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |