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1)  quasi bounded
拟有界的
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)  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。
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:河清与赵氏昆季宴集得拟杜工部
【诗文】:
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客鬓行如此,沧波坐渺然。此中真得地,漂荡钓鱼船。



【注释】:



【出处】:
全唐诗:卷541-42
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