共查询到20条相似文献,搜索用时 15 毫秒
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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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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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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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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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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.
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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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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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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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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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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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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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Eiichi Nakai 《数学学报(英文版)》2008,24(8):1243-1268
Let X = (X, d,μ) The purpose of this paper is to be a space of homogeneous type in the sense of Coifman and Weiss. generalize the definition of Hardy space H^P(X) and prove that the generalized Hardy spaces have the same property as H^P(X). Our definition includes a kind of Hardy- Orlicz spaces and a kind of Hardy spaces with variable exponent. The results are new even for the R^n case. Let (X, δ, μ) be the normalized space of (X, d, μ) in the sense of Macias and Segovia. We also study the relations of our function spaces for (X, d, μ) and (X, δ,μ). 相似文献