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1)  normal biorder normed space
标准双序赋范空间
1.
In this paper,we introduce the concept of the normal biorder normed space,and provide some necessary or sufficient conditions under which a normed linear space is normal,and prove the biorder positive decomposition of continuous linear functionals.
引入一类新的空间概念—标准双序赋范空间,讨论了双序赋范线性空间为标准双序赋范空间的充要条件,证明了标准双序赋范空间中每一个连续线性泛函均能分解为两个单调连续线性泛函之差。
2)  F*-space
赋准范空间
1.
We discuss the relation of the boundedness (normbounded and pseudobounded)in F*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 。
3)  quasi-normed space
赋准范空间
1.
<Abstrcat> The uniform boundedness of additive operator family is proved on psuedo-bounded set of the second category quasi-normed space .
在第二纲的赋准范空间上,证明了可加算子族在拟有界集上的一致有界性。
2.
At first, the resonance theroem is extended from β -mormed space of second category to the addible operator family in quasi-normed space of the same category, and then expand it further to the normed γ -quasi-subadditive operator family and generalized normed γ -quasi-subadditive operator family in quasi-normed space of the same category.
将“共鸣定理”由第二纲的赋 β-范空间推广到第二纲的赋准范空间上的可加算子族上 ,然后再将其扩展到第二纲的赋准范空间上按范γ-拟次加算子族上及广义按范γ-拟次加算子族上 。
4)  F~*-space
赋准范空间
1.
The boundedness,norm-bounded and pseudobounded of F~*-space;
赋准范空间中几种有界性讨论
2.
The strong boundedness、boundedness、continuous of the operator T in F~*-space;
赋准范空间中算子T的强有界、有界和连续性
5)  F-normed linear space
赋准范线性空间
6)  LF Pre-normed space
LF赋准范空间
补充资料:摸鱼子 并序 中执法安阳公初度之辰, 熙赋
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