查询词典 compact space

Next,it proves that if E is a barrelled space and F〓 is a locally convex space,Kis all the compact operators of L,then the weak operator topology and the uniformly operator topology have the same sub-series convergence series in Kif and only if 〓 contains no copyof 〓.

其次又得到，若E是桶型空间，〓是局部凸空间，那么紧算子空间K中弱算子拓扑与一致算子拓扑具有相同子级数收敛的充要条件是〓不拓扑同胚地包含〓。

Brown and Halmos [3] showed that the only compact Toeplitz operator on the Hardy space is the zero operator and a Toeplitz operator is bounded on the Hardy space if and only if its symbol is bounded.

Brown和Halmos[3]证明了经典Hardy空间上只有零算子才是紧的Toeplitz算子，并且证明了Toeplitz算子有界等价于它的符号是有界的。

Finally we discuss the collectively compact Toeplitz operator sequences on Dirichlet space.it extend the single compact operator.

最后对Dirichlet空间上的Toeplitz算子序列的总体紧性进行了刻画，这是单个算子情形的推广。

Borrowed space design techniques to enable the function space compact and practical.

借用空间的设计手法使各功能空间紧凑而实用。

In this thesis we systematically study a new kind entropy-like invariants in the case of compact metric space and probability space.

中文摘要：在本文中，我们系统地研究了一个新的熵不变量。

In the third section,we study the relationship between the APOTP for continuous map / on a compact metric space X and that for the lift map / of / on a covering space X and show that has the APOTP if and only if has the APOTP.

在第四节中，我们研究逆极限空间上移位映射的APOTP，讨论紧致度量空间上连续映射APOTP与逆极限空间上移位映射APOTP间的关系。

Let X be a Banach space, be a locally convex linear topological space, C is a τ-sequence compact convex subset of X, and S an asymptotically nonexpansive type semigroups from C onto itself.

X是一Banach空间，是局部凸线性拓扑空间，C是X上的τ-序列紧凸集，S是C上的Γ类渐近非扩张型半群。

Moreover, it is obtained that, if X is a core compact and locally connected space, then the Isbell and Scott topologies agree on functions space for all continuous L-Domain L with a least element if and only if X is an RW-space.

而且还证明了，若X是核紧的局部连通空间，则对所有有最小元的连续L-DomainL，上的Isbell拓扑和Scott拓扑相同当且仅当X是RW-空间。

At first, the existence of extended form of approach to continuous selection for any set valued mapping without any continuity restriction in para-compact metric space is proved ;by the topologically separated mappings , the approximate selection theorem of sub-lower-semi-continuous mapping is established, furthermore , continuous selection problem in H-space is studied. Next, with W-correspondence, an improved variational inequality is obtained ; by the H-KKM mapping ,Ky Fan\'s minimax inequality is generalized to H-space . At last, with H-convexity instead of the linear topological structure, a new version of Browder fixed point theorem is established.Chapter 3 deals with set-valued mapping vector variational inequality and minimax problems.

第二章首先在仿紧的度量空间上对任意的集值映射建立了新的逼近连续选择定理，利用映射的拓扑可分性，在H-空间上建立了次下半连续映射的逼近连续选择定理和一个新的连续选择定理；然后利用W-对应，在H-空间上建立了广义的变分不等式；利用H-KKM映射，在H-空间上建立了广义的KyFan极小极大不等式；最后，利用H-凸性代替拓扑线性结构，在H-空间上建立了一个新型的Browder不动点定理。

After the culture under the mineralization fluid condition in about 1 wk, the compact circular group appeared in the intercellular space, simultaneously cell multiplication ability reduced compared with the conventional culture; The sodium alizarinsulfonate dyeing showed the compact and circular lightproof briquetting brown laminated shape in the mineralizd intercellular spac, I collagen immunity group dyeing was strongly positive in the coloring region.

在矿化液条件下培养1周左右，细胞间出现了致密圆形团，同时细胞的增殖能力较常规培养有所降低；茜素红染色结果显示矿化细胞间出现的致密的、圆形不透光团块呈现片状的棕染，着色区域， I型胶原的免疫组化染色强阳性。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。