In this part, we mainly focus on some concepts such as integral domain, division ring, field, ideal, difference ring, isomorphism, homomorphism and anti-isomorphism.

本部分主要介紹整區(qū)黄色日韩av在线、除環(huán)久久久免费观看视频、域、理想怕怕怕免费网站18以上看、差環(huán)探花自拍日韩视频在线、同構(gòu)、同態(tài)及反同態(tài)等基本概念色色色789。

In chapter 3, Jordan derivations and Jordan isomorphisms of nest algebras are investigated. It is proved that every Jordan derivation of nest algebra is an inner derivation. Every Jordan isomorphism between nest algebras is either an isomorphism or an anti-isomorphism. Finally, a norm estimate for derivations of nest subalgebras of von Neumann algebras is given, and it is shown that every nest subalgebra of factor von Neumann algebras has property AIP .

第三章研究了套代數(shù)上的Jordan導(dǎo)子和Jordan同構(gòu)初黄色视频在线免费观看，證明了套代數(shù)上的每一個Jordan導(dǎo)子都是內(nèi)導(dǎo)子；套代數(shù)之間的每一個Jordan同構(gòu)要么是同構(gòu)要么是反同構(gòu)一个色A片网、；最后給出了因子von Neumann代數(shù)中套子代數(shù)上導(dǎo)子的一個范數(shù)估計日韩欧美到亚洲，同時也證明了因子von Neumann代數(shù)中的任何一個套子代數(shù)都具有AIP性質(zhì)。

It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie導(dǎo)子的特征表示开心五月丁香激情av综合一区二区三区，即套代數(shù)上的任何一個Lie導(dǎo)子都是內(nèi)導(dǎo)子與廣義跡之和免费网站日本A∨；給出了Lie同構(gòu)和同構(gòu)及反同構(gòu)之間的關(guān)系，即因子von Neumann代數(shù)中套子代數(shù)之間的任何一個Lie同構(gòu)要么是同構(gòu)與廣義跡之和要么是負反同構(gòu)與廣義跡之和国产av网站飞；引入了Banach代數(shù)上線性映射的Lie不變子空間日韩写真福利资源网站，并給出von Neumann代數(shù)中套子代數(shù)上以導(dǎo)子空間為Lie不變子空間的線性映射的一個刻畫，同時也表明在模去數(shù)乘恒等映射的意義下欧美日逼大全，以導(dǎo)子空間為Lie不變子空間的線性映射就是Lie導(dǎo)子你懂的免费在线视频。

In addition to the black-white double-lobe caused by the displacement field around pores, we demonstrate that LSC should correspond to a novel, peculiar class of anti-phase domain, of which the interior is a local isomorphism with a non-zero phason-type displacement ε〓w〓 i.e.

利用這個結(jié)果，我們發(fā)現(xiàn)黑白雙瓣襯度是二十面體準晶中的多面體微孔引起亚洲欧美曝精品手机观看，而環(huán)形襯度則對應(yīng)于一種二十面體準晶中新奇的反相疇界91AⅤ美国黄片，其兩側(cè)是由相位子型位移ε〓w〓＝B〓聯(lián)系著的局域同晶類。