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31.
S. S. Goncharov V. S. Harizanov J. F. Knight A. S. Morozov A. V. Romina 《Siberian Mathematical Journal》2005,46(3):405-412
A criterion is obtained for existence of two isomorphic but not hyperarithmetically isomorphic tuples in a hyperarithmetical model. This criterion is used to show that such a situation occurs in the models of well-known classes.Original Russian Text Copyright © 2005 Goncharov S. S., Harizanov V. S., Knight J. F., Morozov A. S., Romina A. V.The first four authors are supported by the Binational Grant NSF DMS-0075899; the first and fourth authors are partially supported by the Russian Foundation for Basic Research (Grant 02-01-00953) and the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-2112.03.1).__________Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 3, pp. 523–532, May–June, 2005. 相似文献
32.
P. Bradley 《Annals of Global Analysis and Geometry》2000,18(2):129-151
Ginzburg, Guillemin, and Karshon investigated, for compactAbelian groups G, the question: ‘When is anabstract moment map a moment map in the usual pre-symplectic sense?’ Weconsider the analogous question for non-Abelian groups and show that itis closely connected to the problem of determining the representationstructure of certain modules, known as Jacobian modules, which arenaturally attached to a linear action of G. 相似文献
33.
M. Chacron 《代数通讯》2018,46(1):322-324
This paper is a correction paper concerned with an important theorem about an involution with Engel condition. 相似文献
34.
35.
Two‐sided estimates and positivity conditions for solutions of linear operator equations in a Banach lattice 下载免费PDF全文
Michael Gil' 《Mathematische Nachrichten》2016,289(8-9):974-981
Let A and be bounded linear operators in a Banach lattice B, and M be a positive operator in B. The paper deals with the equation where X should be found and are real numbers. Two‐sided estimates and positivity conditions for a solution of that equation are established. The illustrative examples are also presented. 相似文献
36.
引进了3个实函数类Φ,Ψ及L并考虑了3个满足压缩型条件的映射族,利用W-空间上的映射族的反交换性或具有交换点条件得到了若干个映射族具有唯一公共不动点的定理,同时给出了它们的特殊结果,所得结果推广和改进了很多相应结论, 相似文献
37.
B. V. Rajarama Bhat Santanu Dey Joachim Zacharias 《Proceedings Mathematical Sciences》2006,116(2):193-220
Given a contractive tuple of Hilbert space operators satisfying certainA-relations we show that there exists a unique minimal dilation to generators of Cuntz-Krieger algebras or its extension by
compact operators. This Cuntz-Krieger dilation can be obtained from the classical minimal isometric dilation as a certain
maximalA-relation piece. We define a maximal piece more generally for a finite set of polynomials inn noncommuting variables. We classify all representations of Cuntz-Krieger algebrasO
A obtained from dilations of commuting tuples satisfyingA-relations. The universal properties of the minimal Cuntz-Krieger dilation and the WOT-closed algebra generated by it is studied
in terms of invariant subspaces. 相似文献
38.
We introduce a new class of uniformly R-subweakly commuting mappings and then using this class study the problem of approximation of common fixed points of asymptotically S-nonexpansive mappings in a Banach space with uniformly Gâteaux differentiable norm. 相似文献
39.
B. V. Rajarama Bhat Tirthankar Bhattacharyya Santanu Dey 《Transactions of the American Mathematical Society》2004,356(4):1551-1568
We introduce a notion called `maximal commuting piece' for tuples of Hilbert space operators. Given a commuting tuple of operators forming a row contraction, there are two commonly used dilations in multivariable operator theory. First there is the minimal isometric dilation consisting of isometries with orthogonal ranges, and hence it is a noncommuting tuple. There is also a commuting dilation related with a standard commuting tuple on boson Fock space. We show that this commuting dilation is the maximal commuting piece of the minimal isometric dilation. We use this result to classify all representations of the Cuntz algebra coming from dilations of commuting tuples.
40.
Denis Blackmore Anatolij K. Prykarpatski 《Journal of Nonlinear Mathematical Physics》2014,21(3):407-428
A relatively new approach to analyzing integrability, based upon differential-algebraic and symplectic techniques, is applied to some “dark equations ”of the type introduced by Boris Kupershmidt. These dark equations have unusual properties and are not particularly well-understood. In particular, dark three-component polynomial Burgers type systems are studied in detail. Their matrix Lax representations are constructed, and the related symmetry recursion operators and infinite hierarchies of integrable nonlinear dynamical systems along with their Lax representations are derived. New linear Lax spectral problems for dark integrable countable hierarchies of dynamical systems are proposed and some special cases are considered as a means of indicating that the approach presented is applicable to a far wider class of dark equations than analyzed here. 相似文献