杂志简介:《数学学报》杂志经新闻出版总署批准,自1936年创刊,国内刊号为11-2038/O1,是一本综合性较强的科学期刊。该刊是一份双月刊,致力于发表科学领域的高质量原创研究成果、综述及快报。主要栏目:研究报告、文献综述、简报、专题研究
作者:Ke; Feng; LIU; Yong; WANG 刊期:2017年第04期
By studying modular invariance properties of some characteristic forms, we get some gen-eralized anomaly cancellation formulas on (4r - 1)-dimensional manifolds with no assumption thatthe 3rd de-Rham cohomology of manifolds vanishes. These anomaly cancellation formulas generalizeour previous anomaly cancellation fo...
作者:Yi; Jie; LIN; Jian; ZHOU 刊期:2017年第04期
We propose an algorithm to derive tautological relations from Pixton relations. We carryout this algorithm explicitly to derive some results in genus 0, 1, 2, 3 and analyze the possibility togeneralize to higher genera. As an application, some results about reconstruction of Gromov-Witteninvariants can be derived.
作者:Lin; CHEN; Fang; Yan; LU 刊期:2017年第04期
Let Alg be a -subspace lattice algebra on a Banach space X and M be an operator in Alg . We prove that if δ : Alg → B(X) is a linear mapping satisfying 5(AB) = 5(A)B + AS(B)for all A, B C Alg with AMB =0, then 5 is δ generalized derivation. This result can be applied toatomic Boolean subspace lattice algeb...
作者:Hao; LI; Yan; Dong; BAI; Qiang; SUN 刊期:2017年第04期
A linear directed forest is a directed graph in which every component is a directed path.The linear arboricity la(D) of a digraph D is the minimum number of linear directed forests in Dwhose union covers all arcs of D. For every d-regular digraph D, Nakayama and Peroche conjecturethat la(D) = d + 1. In this pape...
作者:Ye; CHEN; Xiang; Qun; YANG; Ying; Qiu; LI; Xiao; Wen; ZHOU 刊期:2017年第04期
For a 〈 r 〈 b, the approach of Li and Zhou (2014) is adopted to find joint Laplacetransforms of occupation times over intervals (a, r) and (r, b) for a time homogeneous diffusion processbefore it first exits from either a or b. The results are expressed in terms of solutions to the differentialequations assoc...
作者:Cheng; Jun; HOU 刊期:2017年第04期
We introduce the notion of property (RD) for a locally compact, Hausdorff and r-discretegroupoid G, and show that the set S2^l(G) of rapidly decreasing functions on G with respect to acontinuous length function I is a dense spectral invariant and Freehet *-subalgebra of the reducedgroupoid C^*-algebra Cr^*.(G...
作者:Zhi; Tao; YANG; Yu; Feng; LU; Qing; Jin; CHENG 刊期:2017年第04期
We prove that a topological space is uniform Eberlein compact iff it is homeomorphic to asuper weakly compact subset C of a Banach space such that the closed convex hull coC of C is superweakly compact. We also show that a Banach space X is super weakly compactly generated iff the dualunit ball Bx* of X^* in its we...
作者:Qing; Hua; XU; Fang; FANG; Tai; Shun; LIU 刊期:2017年第04期
Let Sα^* be the familiar class of normalized starlike functions of order α in the unit disk. Inthis paper, we establish the Fekete and Szego inequality for the class Sα^*, and then we generalize thisresult to the unit ball in a complex Banach space or on the unit polydisk in C^n.
作者:Tao; XU; He; Guo; LIU 刊期:2017年第04期
Let G be a polycyclic group and a a regular automorphism of order four of G. If the map φ: G →G defined by gφ= [g, α] is surjective, then the second derived group of G is contained in thecentre of G. Abandoning the condition on surjectivity, we prove that Cc(α2) and G/[G, α^2] are bothabelian-by-finite.
作者:Zhao; Lin; JIANG; Yun; Cheng; QIAO; Shu; Dong; WANG 刊期:2017年第04期
In this paper, three new circulant operator matrices, scaled circulant operator matrices,diag-circulant operator matrices and retrocirculant operator matrices, are given respectively. Severalnorm equalities and inequalities for these operatornorm equalities and inequalities, such as the usualmatrices are proved. We s...