共查询到20条相似文献,搜索用时 93 毫秒
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1996年,周永良先生在全国第三届初等数学研究学术交流会论文集中提出如下三角不等式在锐角三角形ABC中,有cos(B-C)cosA+cos(C-A)cosB+cos(A-B)cosC≥6(1)cosAcos(B-C)+cosBcos(C-A)+cos... 相似文献
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§1. TheEquivalentTheoremoftheCrossedCoproductLetCbealeftH-weaklycomodulecoalgebra[4]withthestructureρ-C(c)=∑c(1)c(2).DbeleftH-modulecoalgebra[2]withthestructure“”.Forα∈Homκ(C,HH)denoteα(c)=∑α1(c)α2(c).Define△-:CD→(CD)(CD)andε-:CD→κasfollow-i… 相似文献
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BCC-AlgebrasandBCK-AlgebrasZhangXiaohong(张小红);WeiZongli(卫宗礼)(HanzhongTeacher'sCollege,723000)(LuoyangTeacher'sCollege,471022)... 相似文献
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TheSufficientandNecessaryConditionsfortheSpaceXin-Space(X,)tobeaCohomologySphereZhangZengxi(张增喜)(DepartmentofMathematics,Ca... 相似文献
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Huang Chengming 《东北数学》1995,(1)
B-convergenceofaClassofMultistepMultiderivativeMethodsHuangChengming(黄乘明)(ComputingCenter,ShaoyangTeacher'sCollege,Hunan,4220... 相似文献
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LIWEI(李伟);CAOJINHUA(曹晋华)(InstituteofAppliedMathematics,theChineseAcademyofSciences,Beijing100080,ChinaandAsia-PacificOperatio... 相似文献
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Prime-DimensionalHopfAlgebrasCaiChuanren(蔡传仁)andChenHuixiang(陈惠香)(DepartmentofMathematics,YangzhouTeacher'sCollege,Jiangsu225... 相似文献
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Chun-Yan Li 《Complex Analysis and Operator Theory》2012,6(1):1-21
In this paper, operator Bessel sequences, operator frames, Banach operator frames, Operator Riesz bases for Banach spaces
and dual frames of an operator frame are introduced and discussed. The necessary and sufficient condition for a Banach space
to have an operator frame, a Banach operator frame or an operator Riesz basis are given. In addition, operator frames and
operator Riesz bases are characterized by the analysis operator of operator Bessel sequences. 相似文献
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Elina Shishkina 《Mathematical Methods in the Applied Sciences》2019,42(15):5060-5071
The paper is devoted to the study of the fractional integral operator, which is a negative real power of the singular wave operator generated by Bessel operator using weighted generalized functions. We give conditions for this operator to be bounded in appropriate spaces, obtain formula for the Hankel transform of this operator, and get formula of connection between this operator and natural degree of singular wave operator generated by Bessel operator. 相似文献
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非线性Lipschitz算子的Lipschitz对偶算子及其应用 总被引:3,自引:0,他引:3
在文山中我们对非线性Lipschitz算子定义了其Lipschitz对偶算子,并证明了任意非线性Lipschitz算子的Lipschitz对偶算子是一个定义在Lipschitz对偶空间上的有界线性算子.本文还进一步证明:设C为 Banach空间 X的闭子集,C*L为C的 Lipschitz对偶空间,U为 C*L上的有界线性算子,则当且仅当 U为 w*-w*连续的同态变换时,存在Lipschitz连续算子T,使U为T的Lipschitz对偶算子.这一结论的理论意义在于:它表明一个非线性Lipschitz算子的可逆性问题可转化为有界线性算子的可逆性问题.作为应用,通过引入一个新概念──PX-对偶算子,在一般框架下给出了非线性算子半群的生成定理. 相似文献
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Fuzhen Zhang 《Journal of Mathematical Analysis and Applications》2007,333(2):1264-1271
This paper is focused on the operator inequalities of the Bohr type. We will give a new and transparent proof for the operator Bohr inequality through an absolute value operator identity, show some related operator inequalities by means of 2×2 (block) operator matrices, and finally we will present a generalization of the operator Bohr inequality for multiple operators. 相似文献
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类似与标型谱算子,U-标算子是否拟仿射相似于自伴算子是一“公开问题”.尽管对具纯离散谱的U-标算子答案是肯定的,但一般情况下并不成立.本文继续探讨这一问题,证明了U-标算子在一强范数拓扑意义下是Hermite算子,或者说U-标算子拟仿射相似于Hermite算子,并给出U-标算子是标型谱算子的充要条件. 相似文献
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A. I. Perov 《Functional Analysis and Its Applications》2017,51(4):310-315
In a generalization of Fiedler’s theorem, a block condition for the invertibility of an operator and an estimate for the operator matrix of the inverse operator are presented. A block condition for an operator to be Hurwitz is also given, which contains an estimate of the spectral abscissa of the operator. 相似文献
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The non-cutoff Kac operator is a kinetic model for the non-cutoff radially symmetric Boltzmann operator. For Maxwellian molecules, the linearization of the non-cutoff Kac operator around a Maxwellian distribution is shown to be a function of the harmonic oscillator, to be diagonal in the Hermite basis and to be essentially a fractional power of the harmonic oscillator. This linearized operator is a pseudodifferential operator, and we provide a complete asymptotic expansion for its symbol in a class enjoying a nice symbolic calculus. Related results for the linearized non-cutoff radially symmetric Boltzmann operator are also proven. 相似文献
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算子权移位的Banach约化性 总被引:1,自引:0,他引:1
本文给出了单边算子权移位是BR算子的充要条件及双边算子权移位是BR算子的充分条件.做为推论,重新得到了[1]中的一个结果,并得到了一类BIR单边算子权移位的例子。最后,给出大量的HIR但同时又是BR的单边算子权移位。 相似文献
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In this paper, a positive operator is given. It is shown that the product of this positive operator and the convolution operator is a trace class Hilbert-Schmidt integral operator and has nonnegative eigenvalues. A formula is given for the trace of this product operator. It seems that this product operator is the closest trace class integral operator which has nonnegative eigenvalues and is related to the Weil distribution in the context of Connes’ program for the Riemann hypothesis. A relation is given between the trace of the product operator and the Weil distribution.
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