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We study some properties of smooth sets in the sense defined by Hungerford ([2]). We prove a sharp form of Hungerford’s Theorem on the Hausdorff dimension of their boundaries on Euclidean spaces and s...
The main source of inspiration for the present paper is the work of R. Rosebrugh and R.J. Wood on constructive complete distributive lattices where the authors employ elegantly the concepts of adjunct...
We exhibit large classes of contractions on noncommutative Lp-spaces which satisfy the non- commutative analogue of Matsaev’s conjecture, introduced by V.V. Peller.
We provide a sketch of the GIT construction of the moduli spaces for the three classes of connections: the class of meromorphic connections with fixed divisor of poles D and its subclasses of integrab...
We construct the Kuranishi spaces, or in other words, the versal deformations, for the following classes of connections with fixed divisor of poles D:all such connections, as well as for its subclasse...
We show that 􀀀(Np), a subspace of exotic Hida-Kubo-Takenaka space is naturally imbedded into (E), the usual Hida-Kubo-Takenaka space under some conditions. We also study on Heat Equations as...
We study the commutation relations within the Pauli groups built on all decompositions of a given Hilbert space dimension q, containing a square, into its factors.
We construct instanton Floer homology for lens spaces L(p, q). As an application, we prove that X = CP2#CP2 does not admits a decomposition X = X1 [ X2. Here X1 and X2 are oriented, simply connected, ...
In this paper we investigate a family of Moishezon twistor spaces on the con- nected sum of 4 complex projective planes, which can be regarded as a direct generalization of the twistor spaces on 3CP...
Recently there is a line of research work proposing to employ Spectral Clustering (SC) to segment (group)1 highdimensional structural data such as those (approximately) lying on subspaces2 or low-dime...
Let k be a field of characteristic different from 2. Let G be a simply connected or adjoint semisimple algebraic k-group which does not contain a simple factor of type E8 and such that every exception...
关于空间复盖方法     空间复盖方法       2008/12/11
总体最优化中的空间复盖方法(Space covring techniques)例如 Evtushenko(Евтущенко)方法、Shubert 方法等从71年开始出现以来,得到不少人的关注。这里将从两个方面对空间复盖方法进一步深入探讨。(1)在空间复盖方法中,对Lipschitz 条件的常数 L,假设为已知的,而实际上要知道 L将是一个同等困难的问题,这里将给出一个 L的统计估计法,这方法...
研究了一类混合型线性FDE方程具有零特征根时解的存在性及唯一性,分别在速降函数空间和Sobolev空间中讨论了方程有解所必须满足的充分条件和必要条件.
本文证明了如果对每个可数序数α,紧序数α+1的可数次箱积的商空间$▽^ω(α+1)$是特殊仿紧的,则对任意一个序数λ,$▽^ω(λ+1)$也是特殊仿紧的.
本注记中,我们主要阐明了块空间与Hardy空间的关系,从而得到$B^{0,\nu}_{q}(S^{n-1})\subset H^{1}(S^{n-1})+L(ln^{+})^{1+\nu}(S^{n-1}),\ \nu>-1, \ q>1$. 进一步,当$\nu\geq 0, \ q>1$ ,块空间$B^{0,\nu}_{q}(S^{n-1})$ 是Hardy空间的真子空间.

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