1) mesocompact map
中紧映射
1.
In this paper,after we introduce the concept of a mesocompact map,we study and proof a lemma,then proof a equivalent chracterization of severel concepts in the condition of closed map.
引入了中紧映射后,先研究并证明了一个引理,再证明了几个概念在闭映射的条件下的等价刻画,最后不仅利用定向开覆盖刻划了中紧映射,还利用闭包保持闭加细,紧式星形加细,紧式w-加细和紧式星形Fk-加细等进一步刻划了中紧映射,拓展了拓扑空间范畴到拓扑空间范畴的映射。
2) base-mesocompact mapping
基中紧映射
1.
It is investigated that base-metacompactness and base-mesocompactness are inversely preserved under perfect mapping,closed Lindelf mapping,base-paracompact mapping,base-metacompact mapping and base-mesocompact mapping.
引入了基亚(中)紧空间和基亚(中)紧映射的概念,并研究了完备映射、闭Lindel f映射、基仿紧映射、基亚紧映射、基中紧映射对基亚紧性和基中紧性的保持问题。
3) countable base-mesocompact mapping
基-可数中紧映射
1.
The notion of countable base-mesocompact mapping is introduced and the following results are mainly proved:(i) Let f ∶X→Y be countable base-mesocompact mapping.
引入了基-可数中紧映射,并且获得了如下主要结果:(i)设X,Y为T2空间,ω(X)≥ω(Y),f∶X→Y是基-可数中紧映射,如果Y是正则的基-可数中紧空间,那么X是基-可数中紧空间。
4) On Mesocompact Spaces
关于中紧映射
5) countably mesocompact mapping
可数中紧映射
1.
The paper lead into mesocompact mapping and define countably mesocompact mapping.
本文引入并较为系统地研究了中紧映射和可数中紧映射,全文共分两章:第一章是中紧映射。
6) Compact mapping
紧映射
1.
Study the solvability of the operator equation Tx+Cx=f in X ,where X is a real reflexive Banach space, T is a maximal monotone operator and C is a compact mapping.
研究了当 X是实自反 Banach空间、T为极大单调算子、C为紧映射时 ,算子方程 Tx+Cx=f在 X中的可解
2.
With this Through constructing a compact mapping ,we connect nonlinear eigenvalue problem with linear eigen.
其中Fuchs型算子是带有奇点的算子，我们首先利用对称积分核理论证明了对应线性问题的结果，进而由此线性问题的结果，通过构造紧映射建立了非线性特征值问题与线性特征值问题之间的联系，然后利用Schauder不动点定理证明了扰动后的算子的特征值及相应特征函数的存在性。
补充资料：数中
1.其中;内中。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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