共查询到20条相似文献,搜索用时 15 毫秒
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利用拓扑学的一般理论,研究了序列位差空间的连通性,给出了序列位差空间为可分空间、紧致空间的充分必要条件. 相似文献
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Federico Bambozzi Oren Ben-Bassat Kobi Kremnizer 《Journal of Functional Analysis》2018,274(7):1865-1927
In this article we give a homological characterization of the topology of Stein spaces over any valued base field. In particular, when working over the field of complex numbers, we obtain a characterization of the usual Euclidean (transcendental) topology of complex analytic spaces. For non-Archimedean base fields the topology we characterize coincides with the topology of the Berkovich analytic space associated to a non-Archimedean Stein algebra. Because the characterization we used is borrowed from a definition in derived geometry, this work should be read as a derived perspective on analytic geometry. 相似文献
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Many examples are known of natural functors describing the transition from categories of generalized metric spaces to the ``metrizable" objects in some given topological construct . If preserves initial morphisms and if is initially dense in , then we say that is -metrically generated. Our main theorem proves that is -metrically generated if and only if can be isomorphically described as a concretely coreflective subconstruct of a model category with objects sets structured by collections of generalized metrics in and natural morphisms. This theorem allows for a unifying treatment of many well-known and varied theories. Moreover, via suitable comparison functors, the various relationships between these theories are studied.
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关于弱MCP空间与弱层空间 总被引:1,自引:0,他引:1
本文引入了与已知的一些空间类非常类似的两个概念,我们分别称它们为弱MCP空间与弱层空间.本文主要讨论了这两空间类的等价命题与一些基本性质,及它们与原有空间类的关系. 相似文献
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Sarason has shown that the local Dirichlet spaces Dλ may be considered as manifestations of de Branges-Rovnyak spaces H(b), and has used this identification to give a new proof that the spaces Dλ are star-shaped. We investigate which other Dirichlet spaces D(μ) arise as de Branges-Rovnyak spaces, and which other de Branges-Rovnyak spaces H(b) are star-shaped. We also prove a transfer principle which represents H(b)-spaces inside Dλ. 相似文献
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Piotr Jakóbczak 《Rendiconti del Circolo Matematico di Palermo》2008,57(2):255-263
In this note we study the behaviour of holomorphic functions from the Bergman and Fock spaces on the rays of the unit disc
U and the complex plane ℂ. We obtain conditions on the finiteness of weighted L
2-integrals of those functions along rays.
相似文献
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E.G. Kwon 《Journal of Mathematical Analysis and Applications》2006,324(2):1429-1437
On the unit disk of the complex plane, a characterization for the membership of Bloch space and analytic Besov space is expressed extending known results. 相似文献
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Yu Xuegang 《Advances in Applied Clifford Algebras》2000,10(1):49-60
The hyperbolic complex space is one class of non-Euclidean spaces with continuous singular points. It corresponds with Minkowski
space, and it has the characteristic that the space-time direction is different in nature. Regard the hyperbolic complex space
as original spaces. We can abstract a class of the hyperbolic inner product space and the hyperbolic Hilbert space. 相似文献
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Mihnea Colţoiu 《复变函数与椭圆型方程》2019,64(1):64-67
We discuss some open problems in the theory of analytic pseudoconvexity. We focus our attention especially on q-complete spaces and Stein spaces. 相似文献
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Suyalatu 《Journal of Mathematical Analysis and Applications》2004,298(1):45-56
In this paper, we introduce two types of new Banach spaces: k-super-strongly convex spaces and k-super-strongly smooth spaces. It is proved that these two notions are dual. We also prove that the class of k-super-strongly convexifiable spaces is strictly between locally k-uniformly rotund spaces and k-strongly convex spaces, and obtain some necessary and sufficient conditions of k-super-strongly convex space (respectively k-super-strongly smooth space). Also, for each k?2, it is shown that there exists a k-super-strongly convex (respectively k-super-strongly smooth) space which is not (k−1)-super-strongly convex (respectively (k−1)-super-strongly smooth) space. 相似文献
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卜庆营 《纯粹数学与应用数学》1997,13(1):47-49
A.Pietsch^[1]在讨论核局部凸空间时给出了两类矢值序列空间l1[X]和l1{X}。本文建立了矢值序列空间l1[X]及l1{X}和连续线性算子空间L(c0,X)及绝对可和算子空间AS(c0,X)之间的拓扑同胚关系。通过c0上的矢值算子类L(c0,X)和AS(c0,X)及其上的拓扑等价关系,对局部凸空间X是核空间给出了一个新的特征刻划。 相似文献
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Warren B. Moors 《Proceedings of the American Mathematical Society》2006,134(7):2161-2163
In this paper we prove that the product of a Baire space with a metrizable hereditarily Baire space is again a Baire space. This answers a recent question of J. Chaber and R. Pol.
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Let R be a quasi-order on a compact Hausdorff topological space X. We prove that if X is scattered, then R satisfies the Priestley separation axiom if and only if R is closed in the product space X×X. Furthermore, if X is not scattered, then we show that there is a quasi-order on X that is closed in X×X but does not satisfy the Priestley separation axiom. As a result, we obtain a new characterization of scattered compact Hausdorff spaces. 相似文献
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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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Alejandro Illanes 《Proceedings of the American Mathematical Society》1996,124(4):1243-1246
A topological space is -resolvable if has disjoint dense subsets. In this paper, we prove that if is -resolvable for each positive integer , then is -resolvable.
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关于k极凸空间的几点注记 总被引:1,自引:1,他引:0
本文证明了k极凸是严格介于冼军和胡长松的k极凸性和何仁义的k极凸性之间的一种新凸性.利用k极凸空间的概念,得到了k极凸的性质以及与其它凸性之间的蕴涵关系,完善了k极光滑及其对偶空间的研究. 相似文献