翻訳と辞書 Words near each other ・ Hyponerita brueckneri ・ Hyponerita hamoia ・ Hyponerita incerta ・ Hyponerita ishima ・ Hyponerita lavinia ・ Hyponerita parallela ・ Hyponerita pinon ・ Hyponerita rhodocraspis ・ Hyponerita rosaceata ・ Hyponerita similis ・ Hyponerita tipolis ・ Hyponeuma ・ Hyponitrite ・ Hyponitrite reductase ・ Hyponitrous acid ・ Hyponormal operator ・ Hyponychium ・ Hyponymy and hypernymy ・ Hypopacha ・ Hypopachus ・ Hypopachus barberi ・ Hypopachus pictiventris ・ Hypopalpis ・ Hypoparathyroidism ・ Hypoperigea ・ Hypoperigea tonsa ・ Hypopetalia pestilens ・ Hypophalangism ・ Hypopharyngeal cancer ・ Hypopharyngeal eminence Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Hyponormal operator ： ウィキペディア英語版 Hyponormal operator In mathematics, especially operator theory, a hyponormal operator is a generalization of a normal operator. In general, a bounded linear operator ''T'' on a complex Hilbert space ''H'' is said to be ''p''-hyponormal () if: :$(T^$ *T)^p \ge (TT^ *)^p (That is to say, $(T^$ *T)^p - (TT^ *)^p is a positive operator.) If $p\; =\; 1$, then ''T'' is called a hyponormal operator. If $p\; =\; 1/2$, then ''T'' is called a semi-hyponormal operator. Moreoever, ''T'' is said to be log-hyponormal if it is invertible and :$\backslash log\; (T^$ *T) \ge \log (TT^ *). An invertible ''p''-hyponormal operator is log-hyponormal. On the other hand, not every log-hyponormal is ''p''-hyponormal. The class of semi-hyponormal operators was introduced by Xia, and the class of p-hyponormal operators was studied by Aluthge, who used what is today called the Aluthge transformation. Every subnormal operator (in particular, a normal operator) is hyponormal, and every hyponormal operator is a paranormal convexoid operator. Not every paranormal operator is, however, hyponormal. == See also == *Putnam’s inequality 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Hyponormal operator」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.