共查询到18条相似文献,搜索用时 62 毫秒
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研究了有界线性算子空间中最佳逼近的强惟一性问题,给出了线性和非线性最佳逼近的强惟一性定理。 相似文献
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本文利用序列覆盖分层强紧映射,建立了( )-空间,g-可度量空间与特定的度量空间的关系,这是对Alexandroff的部分问题的肯定回答。 相似文献
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本文给出了赋Orlicz范数的Musielak-Orlicz序列空间的局部一致凸性,(H)性质,(S)性质的判据. 相似文献
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H.Mohebi与Sh.Rezapour在研究Banach空间中的逼近问题时,提出了quasi-Chebyshev子空间及ε-weakly Chebyshev子空间等概念,在文中作者就这些逼近性质在置换空间PBBs中进行了讨论. 相似文献
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主要讨论性质 ( u)从 Banach空间 Xn 到 PXXn 的提升问题 ,它是 lp( Xn)中相应结果的推广 . 相似文献
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Yan-Kui Song 《Czechoslovak Mathematical Journal》2007,57(1):387-394
In this paper, we prove the following statements: (1) For every regular uncountable cardinal κ, there exist a Tychonoff space X and Y a subspace of X such that Y is both relatively absolute star-Lindelöf and relative property (a) in X and e(Y, X) ? κ, but Y is not strongly relative star-Lindelöf in X and X is not star-Lindelöf. (2) There exist a Tychonoff space X and a subspace Y of X such that Y is strongly relative star-Lindelöf in X (hence, relative star-Lindelöf), but Y is not absolutely relative star-Lindelöf in X. 相似文献
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In this paper, locally uniformly rotund points and compactly locally uniformly rotund points are introduced. Moreover, criteria
for compactly locally uniformly rotund points in Orlicz spaces are given. 相似文献
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In this paper, an equivalent relation among the reflexivity, weak sequential completeness and bounded completeness in full function space is given. Some results on weakly sequential compactness of subset and the property (u) in substitution spaces are obtained. 相似文献
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Ralf Kemper 《Applied Categorical Structures》1999,7(3):279-295
We introduce the categories Vec
p
of p-normed vector spaces, Ban
p
of
p
-Banach spaces, AC
p
of
p
-absolutely and TC
p
of
p
-totally convex spaces (0 < p 1). It will be shown that TC
p
(AC
p
) is the Eilenberg–Moore category of Ban
p
(Vec
p
). Then congruence relations on TC
p
(AC
p
)-spaces are studied. There are many differences between TC
p
(AC
p
)-spaces and totally (absolutely) convex spaces (i.e. p = 1) (Pumplün and Röhrl, 1984, 1985), which will become apparent in Section 4. 相似文献