共查询到19条相似文献,搜索用时 387 毫秒
1.
Sobolev圆盘代数的不变子空间 总被引:1,自引:1,他引:0
研究了Sobolev圆盘代数R(D)上乘自变量算子M_z的不变子空间,给出了M_z在任何不变子空间上限制的基本性质,证明了M_z分别限制在两个不变子空间上酉等价当且仅当这两个不变子空间相等,并描述了M_z的一类公共零点在边界的不变子空间的结构. 相似文献
2.
刘明学 《数学年刊A辑(中文版)》2001,(3)
本文研究了序列次可分解算子的不变子空间问题,得到了一类序列次可分解算子具有丰富的不变子空间格的结果,精细地刻划了这类序列次可分解算子的不变子空间格. 相似文献
3.
序列次可分解算子的不变子空间格 总被引:2,自引:0,他引:2
本文研究了序列次可分解算子的不变子空间问题,得到了一类序列次可分解算子具有丰富的不变子空间格的结果,精细地刻划了这类序列次可分解算子的不变子空间格. 相似文献
4.
刘明学 《应用泛函分析学报》2003,5(1):79-81
得到了关于序列次可分解算子的一个不变子空间定理,推广了H.Mohebi和M.Rajiabalipour在1994年得到的一个不变子空间定理,并且举例说明存在l2上的有界线性算子T。它有无穷多个变子空间,但是它的不变子空间格Lat(T)不丰富。 相似文献
5.
证明了一类次可分解算子的不变子空间格是丰富的,并举例说明存在Hilbert空间上的有界线性算子T,它有无穷多个不变子空间,但是它的不变子空间格Lat(T)不丰富. 相似文献
6.
§1.引言 1.1.稳定的不变子空间 在矩阵的各类不变子空间中,从扰动分析的角度研究得比较深入的,是由根子空间的直和构成的不变子空间。 相似文献
7.
关于矩阵不变子空间的扰动界 总被引:1,自引:0,他引:1
朱慈幼 《高等学校计算数学学报》1986,(4)
一 引言 矩阵不变子空间的扰动问题历来为数值分析工作者所重视,但现有的一些结果,如[1 5],通常都要求假设扰动为充分小,且所给出的界往往含有一些无法直接计算的量,如[5]中的Sep(B,C),此外,对于由根子空间低维子空间的直和构成的不变子空间的扰动很少有结果。 本文给出了比由根子空间直和构成的不变子空间更大的一类不变子空间的扰动界, 相似文献
8.
讨论了\Pi_1空间上一般JC*-代数的不变子空间的存在条件问题,得到各类JC*-代数存在\Pi_1型不变子空间的等价条件. 相似文献
9.
本文研究某些加权复合算子之非平凡不变子空间的存在性.特别地,证明了每个亚正规加权复合算子均有非平凡的不变子空间并且提出了一个新概念,称其为本性可逆变换.对于概率空间上本性可逆变换所确定的加权复合算子,给出其非平凡不变子空间存在性的一个等价刻画. 相似文献
10.
李觉先 《数学年刊A辑(中文版)》2003,(5)
本文研究某些加权复合算子之非平凡不变子空间的存在性。特别地,证明了每个亚正规加权复合算子均有非平凡的不变子空间并且提出了一个新概念,称其为本性可逆变换。对于概率空间上本性可逆变换所确定的加权复合算子,给出其非平凡不变子空间存在性的一个等价刻画。 相似文献
11.
Generalized Invexity and Generalized Invariant Monotonicity 总被引:8,自引:0,他引:8
In this paper, several kinds of invariant monotone maps and generalized invariant monotone maps are introduced. Some examples are given which show that invariant monotonicity and generalized invariant monotonicity are proper generalizations of monotonicity and generalized monotonicity. Relationships between generalized invariant monotonicity and generalized invexity are established. Our results are generalizations of those presented by Karamardian and Schaible. 相似文献
12.
Hamid Reza Salimi Moghaddam 《Results in Mathematics》2012,61(1-2):137-142
In this paper we consider simply connected Lie groups equipped with left invariant Randers metrics which arise from left invariant Riemannian metrics and left invariant vector fields. Then we study the intersection between automorphism and isometry groups of these spaces. Finally it has shown that for any left invariant vector field, in a special case, the Lie group admits a left invariant Randers metric such that this intersection is a maximal compact subgroup of the group of automorphisms with respect to which the considered vector field is invariant. 相似文献
13.
In this paper we investigate invariant curves of a planar mapping, which equivalently formulates a second-order difference equation modelled from macroeconomics. We construct all invariant curves in the linear case and prove the existence of invariant curves in the nonlinear case. Furthermore, we discuss the continuous dependence of invariant curves in the nonlinear case. 相似文献
14.
该文考虑了未知对称连续分布函数的不变估计问题.连续分布函数在单调变换群下是不变的[1], 但这个变换群不能保证对称分布函数的不变性.于是, 所要研究的判决问题在单调变换群下不再是不变的. 为了保证判决问题不变性, 考虑一个新的变换群—单调奇变换群, 它确保了所研究的判决问题的不变性.注意到对称分布函数零点的特殊性质, 即, 对任一对称分布函数F, 均有F(0)=1/2,通过视零点为一伪观察值, 得到了所有的非随机化不变估计, 并在不变估计中找到了最优不变估计. 相似文献
15.
In Bataineh (2003) [2] we studied the type one invariants for knots in the solid torus. In this research we study the type one invariants for n-component links in the solid torus by generalizing Aicardi's invariant for knots in the solid torus to n-component links in the solid torus. We show that the generalized Aicardi's invariant is the universal type one invariant, and we show that the generalized Aicardi's invariant restricted to n-component links in the solid torus with zero winding number for each component is equal to an invariant we define using the universal cover of the solid torus. We also define and study a geometric invariant for n-component links in the solid torus. We give a lower bound on this invariant using the type one invariants, which are easy to calculate, which helps in computing this geometric invariant, which is usually hard to calculate. 相似文献
16.
Yong He & Chun-Ping Zhong 《数学研究》2016,49(1):13-22
In this paper,we prove that a unitary invariant strongly pseudoconvex complex
Finsler metric is a complex Landsberg metric if and if only if it comes from a
unitary invariant Hermitian metric. This implies that there does not exist unitary invariant
complex Landsberg metric unless it comes from a unitary invariant Hermitian
metric. 相似文献
17.
Strongly negatively invariant compact sets of set-valued autonomous and nonautonomous dynamical systems on a complete metric
space, the latter formulated in terms of processes, are shown to contain a weakly positively invariant family and hence entire
solutions. For completeness the strongly positively invariant case is also considered, where the obtained invariant family
is strongly invariant. Both discrete and continuous time systems are treated. In the nonautonomous case, the various types
of invariant families are in fact composed of subsets of the state space that are mapped onto each other by the set-valued
process. A simple example shows the usefulness of the result for showing the occurrence of a bifurcation in a set-valued dynamical
system. 相似文献
18.
Biji Wong 《Geometriae Dedicata》2017,187(1):179-197
We construct a combinatorial invariant of 3-orbifolds with singular set a link that generalizes the Turaev torsion invariant of 3-manifolds. We give several gluing formulas from which we derive two consequences. The first is an understanding of how the components of the invariant change when we remove a curve from the singular set. The second is a formula relating the invariant of the 3-orbifold to the Turaev torsion invariant of the underlying 3-manifold in the case when the singular set is a nullhomologous knot. 相似文献
19.
S. V. Khabirov 《Siberian Mathematical Journal》2002,43(5):942-954
We consider three-dimensional subalgebras admitted by the equations of gas dynamics having time as an invariant and containing no rotation operator. For such subalgebras we seek for irregular partially invariant solutions of rank 2 and defect 1. The representation for solutions has the form which generalizes motion of a gas with a linear velocity field. We show that partially invariant solutions exist for each subalgebra. We describe the set of these solutions. We find solutions with the indicated representation that are not partially invariant. The solutions reducible to invariant solutions are generalized to new submodels. 相似文献