共查询到19条相似文献,搜索用时 140 毫秒
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关于随机非线性算子的若干定理 总被引:3,自引:0,他引:3
本文利用随机拓扑度研究了随机凝聚算子的随机不动点定理和随机方程A(w,x)=μx的随机解,以及随机全连续算子的固有值和固有函数,得到若干新结果. 相似文献
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本文用算子函数论的方法,研究了解析算子函数的Banach空间X,X0上的复合算子.给出此复合算子为有界的条件,并刻划了此复合算子在X0上为紧的特征. 相似文献
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FTL—空间上的Fuzzy连续线性算子 总被引:2,自引:0,他引:2
本文将[1]中给出的fuzzy线性算子的定义作了适当的修改,使之更适合于在fuzzy拓扑线性空间(简称FTL-空间)中研究。我们证明了fuzzy线性算子的一个分解定理。在此基础上,研究了FTL-空间上fuzzy线性算子的连续性的一系列等价刻划,讨论了fuzzy线性算子的连续性与有界性的关系。最后,给出了FTL-空间上fuzzy连续线性算子族的一致有界原理。 相似文献
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本文给出了U-标算子经连续算子演算后有界的充分条件。另外,对一给定的U-标算子T,证明了当函数μ(t)连续可导时算子μ(T)有界,但存在连续函数使得μ(T)无界。 相似文献
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有关近于凸函数的一族解析函数 总被引:6,自引:0,他引:6
本文引进并研究D^λ算子定义的一族解析函数Bλ(α,β).导出族中函数的积分表达式;得到该族与近于凸函数之间的关系并借助算子理论讨论了Bλ(α,β)的包含关系,端点性质;由此推出族中函数的偏差定理,证明一个系数不等式. 相似文献
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在模糊赋范线性空间中研究点态模糊有界的准齐性算子族的等度连续性, 并且建立点态模糊半有界与点态非模糊无界的准齐性算子族的共鸣定理.作为其推论, 得到了经典的赋范线性空间和Menger概率赋范线性空间中相应的结论. 相似文献
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本文运用概率工具,得出BBH算子对在[0,∞)的任一有限子区间上具有P≥1次有界交差函数的逼近度估式,并讨论了对导函数为P≥1次有界变差函数时的逼近问题与渐近公式. 相似文献
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胡璋剑 《数学年刊A辑(中文版)》2005,(2)
对一切p∈(0,∞),Cesaro算子在加权的p次Bergman空间A p(Bn)上有界,但不是紧的,其中Bn是Cn上中的单位球,而是[0,1)上的正规权函数.与Cesaro算子相联系,以解析函数g为符号的积分箅子Rg定义为本文刻画了使算子Rg在A p(Bn)上是有界(或紧)的解析函数g的特征.同时,在多圆柱上也能得出类似的结果. 相似文献
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B. S. Tsirel'son 《Journal of Mathematical Sciences》1981,16(2):940-956
It is known that a Gaussian stochastic process can be expanded in a functional series with random independent coefficients. In the case where the process is continuous in mean but there exists no modification of it with continuous simple functions, the series does not converge uniformly. In what cases does it converge pointwise? This question reduces to the well-studied problem of the boundedness of the sample functions. It is shown that the pointwise convergence of the expansion mentioned above is equivalent to the continuity of the sample functions of the process in a certain separable metric. Some other properties of Gaussian processes and measures are considered, ansd generalizations to the non-Gaussian case are given. 相似文献
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For a rectifable Jordan curve Γ with complementary domainsD and D,Anderson conjectured that the Faber operator is a bounded isomorphism between the Besov spaces Bp(1 p ∞) of analytic functions in the unit disk and in the inner domain D,respectively.We point out that the conjecture is not true in the special case p=2,and show that in this case the Faber operator is a bounded isomorphism if and only if Γ is a quasi-circle. 相似文献
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We show that the generator of any uniformly bounded set-valued Nemytskij composition operator acting between generalized Hölder function metric spaces, with nonempty, bounded, closed, and convex values, is an affine function. 相似文献
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Stevo Stevi? 《Applied mathematics and computation》2010,216(12):3450-4316
The boundedness and compactness of the product of the differentiation and composition operator from the space of bounded analytic functions, the Bloch space and the little Bloch space to nth weighted-type spaces on the unit disk are characterized. 相似文献
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Abdelhamid Bourass Bouchaib Ferrahi Bertram M. Schreiber Maria Victoria Velasco 《Set-Valued Analysis》2005,13(2):105-124
We present a generalization of the Uniform Boundedness Principle valid for random multivalued linear operators, i.e., multivalued linear operators taking values in the space L0(,Y) of random variables defined on a probability space
with values in the Banach space Y. Namely, for a family of such operators that are continuous with positive probability, if the family is pointwise bounded with probability at least >0, then the operators are uniformly bounded with a probability that in each case can be estimated in terms of and the index of continuity of the operator. To achieve this result, we develop the fundamental theory of multivalued linear operators on general topological vector spaces. In particular, we exhibit versions of the Closed Graph Theorem, the Open Mapping Theorem, and the Uniform Boundedness Principle for multivalued operators between F-spaces.Mathematics Subject Classifications (2000) 46A16, 46A30, 47A06, 47B80, 60H25. 相似文献
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Boo Rim Choe Hyungwoon Koo Wayne Smith 《Transactions of the American Mathematical Society》2003,355(7):2829-2855
We study the action of composition operators on Sobolev spaces of analytic functions having fractional derivatives in some weighted Bergman space or Hardy space on the unit disk. Criteria for when such operators are bounded or compact are given. In particular, we find the precise range of orders of fractional derivatives for which all composition operators are bounded on such spaces. Sharp results about boundedness and compactness of a composition operator are also given when the inducing map is polygonal.
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Let M be a convex Chebyshev subset of a uniformly convex and uniformly smooth Banach space. It is proved that the metric projection
PM of X onto M is uniformly continuous on every bounded subset of X. Moreover, a global and explicit estimate on the modulus
of continuity of the metric projection is obtained. 相似文献
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This paper continues our earlier work on random quadratic forms. We show that if continuity conditions for a family of quadratic
forms holds uniformly on an index set, generalized focal/conjugate point signature approximation results hold. We then apply
these results to obtain continuity of thenth focal point in a random (robust) setting. 相似文献
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本文将经典Hardy空间上复合算子的理论、方法应用到解析算子函数空间上,给出了解析算子函数空间的几个基本性质及复合算子的有界性条件. 相似文献