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排序方式: 共有83条查询结果,搜索用时 48 毫秒
1.
Chillumuntala Jayaram 《代数通讯》2017,45(6):2394-2400
In this paper we establish some characterizations for weak π-rings. 相似文献
2.
M. R. Weber 《Mathematische Nachrichten》2009,282(10):1478-1487
In Banach spaces ordered by a normal cone that contains interior points the positive invertibility of operators is studied. If there exists a uniformly positive functional then any positively invertible operator A possesses a B -decomposition, i.e., a positive decomposition A = U – V with the properties: U–1 exists, VU–1 ≥ 0, Ax ≥ 0, U x ≥ 0 imply x ≥ 0 and r (VU–1) < 1. Earlier it was shown that the existence of a B -decomposition with r (VU–1) < 1 is sufficient for the positive invertibility of the operator A. Peris' result is obtained as a special case of the main theorem. The decomposition is demonstrated for a positively invertible operator in a Banach space ordered by an ice cream cone (© 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
3.
The connectedness of the invertibles question for arbitrary nest has been reduced to the case of the lower triangular operators with respect to a fixed orthonormal basis en for n 1. For each f ∈ H∞, let Tf be the Toeplitz operator. In this paper we prove that Tf can be connected to the identity through a path in the invertible group of the lower triangular operators if f satisfies certain conditions. 相似文献
4.
We follow the group representation theory approach to define causal operators on Banach modules and present some of their spectral properties. 相似文献
5.
本文将有限域Fq(char Fq≠2)上的Dickson方程:x^2+y^2=a(a≠0)当│Fq│≥7时在Fq^-中有解的经典结果推广到n阶方阵上,证明了只要F≠F2,除奇数阶纯量阵外每一n阶方阵可表为两个可逆阵的平方和。 相似文献
6.
Fillmore在[1]中得到一个定理:设A,T是Banach空间X上的线性变换,A有界,若Lat(A) Lat(T)且AT=TA,则T是A的多项式.在本文里,以此作为引理,讨论了Banach空间上可逆线性变换A在什么情况下,A-1可表示为A的多项式.本文最主要的结论是定理3.4:设X是Banach空间,A是X上的有界线性变换,且可逆,则A-1是A的多项式当且仅当A-1是A的局部多项式. 相似文献
7.
Ioannis K. Argyros 《Journal of Mathematical Analysis and Applications》2004,298(2):374-397
We provide a local as well as a semilocal convergence analysis for two-point Newton-like methods in a Banach space setting under very general Lipschitz type conditions. Our equation contains a Fréchet differentiable operator F and another operator G whose differentiability is not assumed. Using more precise majorizing sequences than before we provide sufficient convergence conditions for Newton-like methods to a locally unique solution of equation F(x)+G(x)=0. In the semilocal case we show under weaker conditions that our error estimates on the distances involved are finer and the information on the location of the solution at least as precise as in earlier results. In the local case a larger radius of convergence is obtained. Several numerical examples are provided to show that our results compare favorably with earlier ones. As a special case we show that the famous Newton-Kantorovich hypothesis is weakened under the same hypotheses as the ones contained in the Newton-Kantorovich theorem. 相似文献
8.
9.
Esther Beneish 《Proceedings of the American Mathematical Society》2006,134(7):1869-1873
Let be a prime greater than , and let be the semi-direct product of a group of order by a cyclic group of order , which acts faithfully on . Let be the localization of at . We show that the Krull-Schmidt Theorem fails for the category of invertible -lattices.
10.
V. M. Tyurin 《Mathematical Notes》1999,66(1):120-123
The invertibility and injectivity properties of linear differential operators with closed range and Poisson coefficients are
studied in the context of their equivalence in several spaces of vector functions defined on the axis.
Translated fromMatematicheskie Zametki, Vol. 65, No. 1, pp. 143–147, January, 1999. 相似文献