1) pseudobounded
拟有界
1.
We discuss the relation of the boundedness (normbounded and pseudobounded)in F*-space.
对赋准范空间的有界性、按范有界及拟有界之间的关系进行了讨论 。
2.
Say that a topological vector space (TVS) admits PB B property if every pseudobounded subset of it is bounded.
如果拓扑向量空间（ＴＶＳ）Ｘ中的任意拟有界集均为有界集，则称Ｘ有ＰＢ－Ｂ性质。
3.
The boundedness,norm-bounded and pseudobounded of F~*-space;
E中集M的有界性是指对于趋于0的任何数列{εn}以及任何元列{xn} M,均有εnxn→0 (n→∞),由此证明了赋准范空间中集M的有界性蕴涵按准范有界和拟有界性,并通过例子说明了两个结论的逆是不成立的,最后给出拟有界集性质的应用。
2) quasi-bounded set
拟有界集
1.
In quasi-normed space, the limit of normed γ-quasi-subadditive operator sequence or normed γ-max-quasi-subadditive operator sequence being equi-continunous operator sequence in quasi-normed space is bounded in any quasi-bounded set, and its normed γ-quasi-subadditivity or normed γ-max-quasi-subadditivity is invariable.
证明了在赋准范空间上等度连续的按范γ-拟次加算子列的极限,和等度连续的按范γ-最大拟次加算子列的极限,在任何拟有界集上是数值有界的,及其按范γ-拟次加性和按范γ-最大拟次的不变性。
3) quasi bounded
拟有界的
4) quasi-bounded space
拟有界空间
5) cone bounded quasiconvexity
锥有界拟凸
6) locally pseudobounded
局部拟有界
1.
Proves that (a)every locally pseudoconvex TVS admifs PB B property,(b)X is locally bounded if and only if it is locally pseudobounded and locally pseudoconvex,(c)there is not any non zero continuous linear operator mapping a pseudobounded TVS into a TVS with T 0 and PB B property.
证明了：（ａ）局部拟凸的ＴＶＳ具有ＰＢ－Ｂ性质；（ｂ）局部有界当且仅当局部拟有界且局部拟凸；（ｃ）不存在从拟有界ＴＶＳ到具有ＰＢ－Ｂ性质且满足Ｔ０公理的ＴＶＳ的非零连续线性算子。
补充资料：发光地寄色界无色界天乘
【发光地寄色界无色界天乘】
谓三地菩萨，明修八禅定行，同于色界四禅，无色界四空处，故云发光地寄色无色界天乘。（八禅定者，色界、无色界各四禅定也。四禅者，初禅、二禅、三禅、四禅也。四空者，即空处、识处、无所有处、非非想处也。）
谓三地菩萨，明修八禅定行，同于色界四禅，无色界四空处，故云发光地寄色无色界天乘。（八禅定者，色界、无色界各四禅定也。四禅者，初禅、二禅、三禅、四禅也。四空者，即空处、识处、无所有处、非非想处也。）
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条