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981.
Seán Dineen 《Journal of Functional Analysis》2010,259(2):545-560
Let H(U) denote the vector space of all complex-valued holomorphic functions on an open subset U of a Banach space E. Let τω and τδ respectively denote the compact-ported topology and the bornological topology on H(U). We show that if E is a Banach space with a shrinking Schauder basis, and with the property that every continuous polynomial on E is weakly continuous on bounded sets, then (H(U),τω) and (H(U),τδ) have the approximation property for every open subset U of E. The classical space c0, the original Tsirelson space T∗ and the Tsirelson∗-James space are examples of Banach spaces which satisfy the hypotheses of our main result. Our results are actually valid for Riemann domains. 相似文献
982.
《Indagationes Mathematicae》2017,28(2):516-526
In this paper we introduce the weighted version of fully measurable grand Lebesgue spaces and obtain characterizations for the boundedness of maximal operator, Hilbert transform and the Hardy averaging operator on these spaces. 相似文献
983.
984.
Fernanda Botelho James Jamison 《Proceedings of the American Mathematical Society》2008,136(4):1397-1402
We characterize generalized bi-circular projections on a minimal norm ideal of operators in where is a separable infinite dimensional Hilbert space.
985.
In Sook Park 《Mathematische Nachrichten》2008,281(4):561-574
It is shown that for any locally compact abelian group ?? and 1 ≤ p ≤ 2, the Fourier type p norm with respect to ?? of a bounded linear operator T between Banach spaces, denoted by ‖T |?????p‖, satisfies ‖T |?????p‖ ≤ ‖T |?????p‖, where ?? is the direct product of ?2, ?3, ?4, … It is also shown that if ?? is not of bounded order then Cnp ‖T |?????p‖ ≤ ‖T |?????p‖, where ?? is the circle group, n is a onnegative integer and Cp = . From these inequalities, for any locally compact abelian group ?? ‖T |?????2‖ ≤ ‖T |?????2‖, and moreover if ?? is not of bounded order then ‖T |?????2‖ = ‖T |?????2‖. The Hilbertian property and B‐convexity are discussed in the framework of Fourier type p norms. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
986.
Measure theory of statistical convergence 总被引:2,自引:0,他引:2
The question of establishing measure theory for statistical convergence has been moving closer to center stage, since a kind
of reasonable theory is not only fundamental for unifying various kinds of statistical convergence, but also a bridge linking
the studies of statistical convergence across measure theory, integration theory, probability and statistics. For this reason,
this paper, in terms of subdifferential, first shows a representation theorem for all finitely additive probability measures
defined on the σ-algebra
of all subsets of N, and proves that every such measure can be uniquely decomposed into a convex combination of a countably additive probability
measure and a statistical measure (i.e. a finitely additive probability measure μ with μ(k) = 0 for all singletons {k}). This paper also shows that classical statistical measures have many nice properties, such as: The set
of all such measures endowed with the topology of point-wise convergence on
forms a compact convex Hausdorff space; every classical statistical measure is of continuity type (hence, atomless), and
every specific class of statistical measures fits a complementation minimax rule for every subset in N. Finally, this paper shows that every kind of statistical convergence can be unified in convergence of statistical measures.
This work was supported by the National Natural Science Foundation of China (Grant Nos. 10771175, 10471114) 相似文献
987.
We first consider a complete metric space of nonexpansive set-valued mappings acting on a closed convex subset of a Banach space with a nonempty interior, and show that a generic mapping in this space has a fixed point. We then establish analogous results for two complete metric spaces of set-valued mappings with convex graphs. 相似文献
988.
设E是带严格凸对偶空间的实可分Banach空间,设A:D(A)包含于E→E是一K正定算子。对任意f∈E,我们构造了强收敛于算子方程Ax=f唯一解的新的带误差的迭代过程。我们的工作推广了文[1,3-4]中的结果。 相似文献
989.
巴氏空间中随机元的极限理论及其应用 总被引:2,自引:0,他引:2
本文综述了巴拿赫空间中随机元的极限理论及其应用的一些结果,主要内容为:极限理论的某些新结果;等周方法的优化技巧;巴氏空间几何的概率方法;在经验过程研究中的应用。重点是近十年来有关问题研究的一些进展。 相似文献
990.
In this paper, we have proved that fixed point index of completely continuous positively concave increasing operator on bounded domain Ω which contains zero point is only O or 1. 相似文献