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Bin Zhao 《高校应用数学学报(英文版)》2009,24(2):237-244
In this paper, the hereditarily almost expandability of inverse limits is investigated, with two results obtained. Let X be the inverse limit space of an inverse system (Xα, π^αβ, ∧}. (1) Suppose X is hereditarily κ-metacompact, if each Xα is hereditarily pointwise collectionwise normal (almost θ-expandable, almost discrete θ-expandable), then so is X; (2) Suppose X is hereditarily κ-σ-metacompact, if each Xα is hereditarily almost σ-expandable (almost discrete σ-expandable = σ-pointwise collectionwise normal), then so is X. 相似文献
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遗传中紧空间与散射分解 总被引:5,自引:0,他引:5
本文证明了可数仿紧(中紧、亚紧)空间有类似Junnila的刻画,遗传中紧空间不具有类似Junnila的刻画,并给出了每个散射分解有紧有限的开膨胀的充要条件. 相似文献
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In this paper we first discuss the relations between some G-M-type spaces, and the previous eight kinds of G-M-type Banach spaces are merged into four different kinds. Then we build a Generalized Operator Extension Theorem, and introduce the concept of complete minimal sequences. Some sufficient and necessary conditions under which a Banach space is a hereditarily indecomposable space are given. Finally, we give some characterizations of hereditarily indecomposable Banach Spaces. 相似文献
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The concepts of k-systems, k-networks and k-covers were defined by A. Arhangel’skii in 1964, P. O’Meara in 1971 and R. McCoy, I. Ntantu in 1985, respectively. In this
paper the relationships among k-systems, k-networks and k-covers are further discussed and are established by mk-systems. As applications, some new characterizations of quotients or closed images of locally compact metric spaces are given
by means of mk-systems. 相似文献
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In this paper we study some properties of a totally *-paranormal operator (defined below) on Hilbert space. In particular,
we characterize a totally *-paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for
totally *-paranormal operators through the local spectral theory. Finally, we show that every totally *-paranormal operator
satisfies an analogue of the single valued extension property for W
2(D, H) and some of totally *-paranormal operators have scalar extensions. 相似文献
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In this note, we show that every infinite-dimensional separable Fréchet space admitting a continuous norm supports an operator for which there is an infinite-dimensional closed subspace consisting, except for zero, of hypercyclic vectors. The family of such operators is even dense in the space of bounded operators when endowed with the strong operator topology. This completes the earlier work of several authors.
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关于G-M成果研究的若干新动态Ⅰ——G-M型空间的若干品种 总被引:1,自引:1,他引:0
结合自己的工作,对Gowers-Maurey系列成果获Fields奖以来的研究的新动态作一综述。本是上篇,主要讨论含遗传不可分解空间在内的G-M型空间的若干品种。 相似文献
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Xiaohong Cao 《Proceedings of the American Mathematical Society》2007,135(6):1701-1708
In this note, the relation between hypercyclic operator matrices (or supercyclic operator matrices) and the operator matrices which satisfy Weyl type theorems is discussed. Also, using a variant of the essential approximate point spectrum, we give the necessary and sufficient conditions for for which a-Browder's theorem or a-Weyl's theorem holds.
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This article is a collection of remarks about the three ingredients – transitivity, denseness of periodic points and sensitivity – in one of the definitions of chaos in topological dynamics. 相似文献