共查询到20条相似文献,搜索用时 84 毫秒
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通过刻画无限维完备的不定内积空间上双边保幂等元正交性的双射,得到了?-标准算子代数之间完全保持不定Jordan 1-?-零积满射的具体结构形式,进而证明了这样的映射是同构或者共轭同构的非零常数倍. 相似文献
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在特征零的代数闭域F上,利用3维和4维幂零李代数的分类,通过计算刻画了3维和4维幂零李代数的Yang-Baxter算子. 相似文献
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本文给出了可分无限维Hilbert空间H上有界线性算子全体B(H)中的相似不变子空间的构造,同时给出了B(H)上双边保相似线性映射的表示. 相似文献
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介绍并研究hom-Lie代数及hom-Lie环的幂零性.将线性映射α由一般的线性映射限制到研究α是对合映射的情形.通过建立Lie代数与hom-Lie代数间的关系,建立起Lie代数幂零和hom-Lie代数幂零间的联系.讨论了hom-Lie代数幂零的极大值子代数条件.此外,还研究了hom-Lie环幂零的正规化子条件和极大子代数条件. 相似文献
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《数学的实践与认识》2015,(10)
设L是无穷维Banach空间X上的JSL研究JSL代数中幂等算子间的双向保偏序的双射φ,得到了对K∈J(L),且dimK≥3,可由φ导出半线性映射τ,σ,使得φ(L_([x])~k)=L_(τ[x])~K),φ(L_([f]~K)=L_(σ([f]))~K. 相似文献
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记B(X)为复Banach空间X上有界线性算子全体所成的Banach代数,本文讨论B(X)上把一秩算子映为最多一秩的算子的弱连续线性映射,给出了这种映射所具有的形式,并由此得到B(X)上保秩线性映射,保谱线性映射以及保正线性映射的一些表示定理。 相似文献
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在复数域C上,利用三维幂零李超代数的分类,通过计算刻画了三维幂零李超代数的Yang-Baxter算子. 相似文献
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本文我们用幂零李群表示的方法给出了二步幂零李群上一类左不变微分算子是亚椭圆的充要条件。 相似文献
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We prove the conformal invariance of the dimension of thekernel of any of the self-adjoint Dirac operators associated to thecanonical Hermitian connections on Hermitian spin surface. In the caseof a surface of nonnegative conformal scalar curvature we estimate thefirst eigenvalue of the self-adjoint Dirac operator associated to theChern connection and list the surfaces on which its kernel isnontrivial. 相似文献
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We show that for generic Riemannian metrics on a closed spin manifold of dimension three the Dirac operator has only simple eigenvalues. 相似文献
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Paul C. YANG 《数学年刊B辑(英文版)》2017,38(2):695-710
CR geometry studies the boundary of pseudo-convex manifolds.By concentrating on a choice of a contact form,the local geometry bears strong resemblence to conformal geometry.This paper deals with the role conformally invariant operators such as the Paneitz operator plays in the CR geometry in dimension three.While the sign of this operator is important in the embedding problem,the kernel of this operator is also closely connected with the stability of CR structures.The positivity of the CR-mass under the natural sign conditions of the Paneitz operator and the CR Yamabe operator is discussed.The CR positive mass theorem has a consequence for the existence of minimizer of the CR Yamabe problem.The pseudo-Einstein condition studied by Lee has a natural analogue in this dimension,and it is closely connected with the pluriharmonic functions.The author discusses the introduction of new conformally covariant operator P-prime and its associated Q-prime curvature and gives another natural way to find a canonical contact form among the class of pseudo-Einstein contact forms.Finally,an isoperimetric constant determined by the Q-prime curvature integral is discussed. 相似文献
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Bipul Saurabh 《代数通讯》2020,48(6):2539-2554
AbstractIn this paper, we associate a growth graph to a homogeneous space of a compact group. Under certain assumptions, we show that the spectral dimension of a homogeneous space is greater than or equal to summability of the length operator associated with the growth graph. Using this, we compute spectral dimension of spheres.Communicated by Miriam Cohen 相似文献
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Schrodinger算子的极大耗散扩张 总被引:2,自引:2,他引:0
本文研究Schrodinger算子的极大耗散扩张,引入广义不定度规空间,得到在自然边界空间中,Schrodinger算子极大耗散扩张表示形式,为进一步研究非线性Schrodinger方程无穷维动力系统的长期混沌行为作准备。 相似文献
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L. Nedelec 《Journal of Functional Analysis》2007,244(2):387-398
We show that the resonance counting function for a Schrödinger operator in dimension one has an asymptotic expansion and calculate an explicit expression for the leading term in some situations. 相似文献