Use appendices for mathematical derivations and supporting material too detailed to include in the body of the paper.

使用附錄的數(shù)學(xué)推導(dǎo)和輔助材料過于詳細，包括正文中的文件三级黄性爱视频。

The Symbolisms of Heraldry or A Treatise on the Meanings and Derivations of Armorial Bearings ＞＞W(wǎng). Cecil Wade

注：一些顏色詞匯屬于紋章學(xué)專用單詞而漸舊殴美性爱三级片网，原作者也僅將其列出供參考，這里不予多加解釋黄色一级无码区，比如or/yellow/gold18禁黄网站禁片免费观看在线，其實表示的只是對同一種顏色的不同稱呼而已。

Using derivations and skewderivations,we get the dimension of the second cohomology groups of finite-dimensional Lie superalgebras of Cartan type with a non-degenerate associativeform.

利用導(dǎo)子與斜導(dǎo)子国产老年妇女BBW视频，我們又給出了具有非退化結(jié)合型的有限維Cartan型李超代數(shù)的第二上同調(diào)群〓的維數(shù)色呦呦一区二区三区。

In chapter 5, local derivations and local automorphisms of nest subalgebras in von Neumann algebras and local higher cohomology -local 2-cocycles are studied. It is proved that every weakly continuous local derivation, respectively, every weakly local automorphism, of nest subalgebra of a factor von Neumann algebra is a derivation, respectively, an automorphism. Every norm continuous local derivation, respectively, every norm local automorphism, of the nest subalgebra associated to a countable nest in a factor von Neumann algebra is a derivation, respectively, an automorphism. Moreover, it is answered Larson's question. Finally, it is shown that every local 2-cocycle of any von Neumann algebra is a 2-cocycle.

第五章研究von Neumann代數(shù)中套子代數(shù)的局部導(dǎo)子和局部同構(gòu)以及von Neumann代數(shù)的高維局部映射—局部2-上循環(huán)，證明了因子von Neumann代數(shù)中套子代數(shù)的每一個局部強連續(xù)導(dǎo)子和局部強連續(xù)同構(gòu)分別是導(dǎo)子和同構(gòu)中日韩十逼高清无码视频；可數(shù)套所對應(yīng)的套子代數(shù)的每一個有界局部導(dǎo)子和有界局部同構(gòu)分別是導(dǎo)子和同構(gòu)；同時超碰在线免费首页，部分回答了Larson所提的問題最新欧美视频；最后，得到von Neumann代數(shù)的每一個局部2-上循環(huán)是2-上循環(huán)九九爱综合。

In this paper, we mainly disscuss derivable mappings at zero point, Jordan derivations and 2-local derivations on some operator algebras. The details as following:In chapter 1, some notations, definitions are introduced and some theorems are given.

本文主要對幾類算子代數(shù)上的在零點可導(dǎo)映射和Jordan導(dǎo)子以及2-局部導(dǎo)子進行了研究一级片一级片一级片网址，具體內(nèi)容如下：第一章主要介紹了本文中要用到的一些符號，定義以及本文要用到的一些已知結(jié)論和定理国产精品久久久久精品二级。

As we all know, if the two partial derivations of binary function are continuous ,the function is differentiable.

摘要眾所周知好男人社区日本www，當(dāng)二元函數(shù)的兩個偏導(dǎo)數(shù)都連續(xù)時，函數(shù)可微久久久久毛片免费观看。

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)2020av久久，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)亚洲日韩熟妇自拍图片；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jjzzz国产，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)子的特征表示插入阴道视频，即套代數(shù)上的任何一個Lie導(dǎo)子都是內(nèi)導(dǎo)子與廣義跡之和日韩精品一区二区熟女视频；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53&视频在线；引入了Banach代數(shù)上線性映射的Lie不變子空間亚洲第一精品在线，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永久免费观看的毛片视频，以導(dǎo)子空間為Lie不變子空間的線性映射就是Lie導(dǎo)子肏屄视频在线免费观看。

Mathieu[17] discribe the form of Lie derivations on primitive ring whose charater is not 2 and which has no non-trivial idempotent. After that, Miers[18],Mathieu and Villena[19] also study Lie derivations on Von Neumann algebra and algebra.

Martindale[17]首先討論了特征不等于2且含非平凡冪等元的本原環(huán)上的Lie導(dǎo)子的表達形式，隨后Miers[18]，Mathien和Villena[19]也分別對VN代數(shù)[国产原创中文]国产AV，C~*-代數(shù)上的Lie導(dǎo)子進行了刻畫国产99视频精品免费时看古装。

Our results show that 2-local isomor-phisms of JSL algebras must be isomorphisms; local derivations and 2-local derivationsof JSL algebras must be derivations.

證明了J子空間格代數(shù)上的2-局部同構(gòu)一定是同構(gòu)；局部導(dǎo)子和2-局部導(dǎo)子一定是導(dǎo)子美国乱滛免费视频。