共查询到20条相似文献,搜索用时 187 毫秒
1.
We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that
assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra
of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms,
in particular to investigate how their induced mappings act on the analytic structure of the spectrum. Moreover, a Banach–Stone
type question is addressed. 相似文献
2.
R. Hazrat 《Israel Journal of Mathematics》2013,195(2):833-895
A Leavitt path algebra associates to a directed graph a ?-graded algebra and in its simplest form it recovers the Leavitt algebra L(1, k). In this note, we first study this ?-grading and characterize the (?-graded) structure of Leavitt path algebras, associated to finite acyclic graphs, C n -comet, multi-headed graphs and a mixture of these graphs (i.e., polycephaly graphs). The last two types are examples of graphs whose Leavitt path algebras are strongly graded. We give a criterion when a Leavitt path algebra is strongly graded and in particular characterize unital Leavitt path algebras which are strongly graded completely, along the way obtaining classes of algebras which are group rings or crossed-products. In an attempt to generalize the grading, we introduce weighted Leavitt path algebras associated to directed weighted graphs which have natural ⊕?-grading and in their simplest form recover the Leavitt algebras L(n, k). We then show that the basic properties of Leavitt path algebras can be naturally carried over to weighted Leavitt path algebras. 相似文献
3.
张荣娥 《纯粹数学与应用数学》2008,24(3)
主要研究了二元Boolean矩阵A的加权Moore-Penrose逆的存在性问题,给出了二元Boolean矩阵A的加权Moore-Penrose逆存在的一些充分必要条件,并讨论了加权Moore-Penrose逆存在时的若干等价刻画及惟一性问题. 相似文献
4.
The image in the Calkin algebra of the Banach algebra generated by all singular integral operators with piecewise continuous coefficients on some composed contour is described up to isomorphy and isometry for weighted LP-spaces. 相似文献
5.
We study convergence rates for weighted sums of pairwise independent random variables in a noncommutative probability space of which the weights are in a von Neumann algebra. As applications, we first study convergence rates for weighted sums of random variables in the noncommutative Lorentz space, and second we study convergence rates for weighted sums of probability measures with respect to the free additive convolution. 相似文献
6.
We study the algebra of operators with the Bergman kernel extended by isometric weighted shift operators. The coefficients of the algebra are assumed to be automorphic with respect to a cyclic parabolic group of fractional-linear transformations of a unit disk and continuous on the Riemann surface of the group. By using an isometric transformation, we obtain a quasiautomorphic matrix operator on the Riemann surface with properties similar to the properties of the Bergman operator. This enables us to construct the algebra of symbols, devise an efficient criterion for the Fredholm property, and calculate the index of the operators of the algebra considered. 相似文献
7.
V. A. Mozel’ 《Ukrainian Mathematical Journal》2011,62(9):1449-1459
We study the Banach algebra generated by a finite number of Bergman polykernel operators with continuous coefficients that
is extended by operators of weighted shift that form a finite group. By using an isometric transformation, we represent the
operators of the algebra in the form of a matrix operator formed by a finite number of mutually complementary projectors whose
coefficients are Toeplitz matrix functions of finite order. Using properties of Bergman polykernel operators, we obtain an
efficient criterion for the operators of the algebra considered to be Fredholm operators. 相似文献
8.
R. Choukri A. El Kinani A. Oukhouya 《Rendiconti del Circolo Matematico di Palermo》2006,55(3):353-359
We examine the structure of a generalized weighted group algebras in case the functions involved take value from a given locally
convex algebra. 相似文献
9.
Edoardo Vesentini 《中国科学A辑(英文版)》2005,48(Z1)
The Gleason-Kahane-Zelazko theorem characterizes the continuous homo-morphism of an associative, locally multiplicatively convex, sequentially complete algebra A into the field C among all linear forms on A. This characterization will be applied along two different directions. In the case in which A is a commutative Banach algebra, the theorem yields the representation of some classes of continuous linear maps A:A→A as weighted composition operators, or as composition operators when A is a continuous algebra endomorphism. The theorem will then be applied to explore the behaviour of continuous linear forms on quasi-regular elements, when A is either the algebra of all Hilbert-Schmidt operators or a Hilbert algebra. 相似文献
10.
Motivated by comatrix coalgebras, we introduce the concept of a Newtonian comatrix coalgebra. We construct an infinitesimal unitary bialgebra on matrix algebras, via the construction of a suitable coproduct. As a consequence, a Newtonian comatrix coalgebra is established. Furthermore, an infinitesimal unitary Hopf algebra, under the view of Aguiar, is constructed on matrix algebras. By the close relationship between pre-Lie algebras and infinitesimal unitary bialgebras, we erect a pre-Lie algebra and a new Lie algebra on matrix algebras. Finally, a weighted infinitesimal unitary bialgebra on non-commutative polynomial algebras is also given. 相似文献
11.
Edoardo Vesentini 《中国科学A辑(英文版)》2005,48(1):32-46
The Gleason-Kahane-Zelazko theorem characterizes the continuous homomorphism of an associative, locally multiplicatively convex, sequentially complete algebra A into the field ? among all linear forms on A. This characterization will be applied along two different directions. In the case in which A is a commutative Banach algebra, the theorem yields the representation of some classes of continuous linear maps A : A→ A as weighted composition operators, or as composition operators when A is a continuous algebra endomorphism. The theorem will then be applied to explore the behaviour of continuous linear forms on quasi-regular elements, when A is either the algebra of all Hilbert-Schmidt operators or a Hilbert algebra. 相似文献
12.
We show that the orbifold Chow ring of a root stack over a well-formed weighted projective space can be naturally seen as
the Jacobian algebra of a function on a singular variety. 相似文献
13.
We introduce generalized?multipliers for?left-invertible analytic operators. We show that they form a Banach algebra and characterize the commutant of such operators in its terms. In the special case, we describe the commutant of balanced weighted shift only in terms of its weights. In addition, we prove two independent criteria for reflexivity of weighted shifts on directed trees. 相似文献
14.
We obtain weighted algebra analogues of the classical theorems of Weiner and Lévy on absolutely convergent Fourier series. 相似文献
15.
《Mathematische Nachrichten》2017,290(11-12):1612-1629
We show that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions. We use this relation to study spectral properties of the operator in question. 相似文献
16.
Tarig Abdelgadir 《代数通讯》2013,41(2):636-649
We describe weighted projective lines in the sense of Geigle and Lenzing by a moduli problem on the canonical algebra of Ringel. We then go on to study generators of the derived categories of coherent sheaves on the total spaces of their canonical bundles, and show that they are rarely tilting. We also give a moduli construction for these total spaces for weighted projective lines with three orbifold points. 相似文献
17.
18.
Abdellah El Kinani 《Rendiconti del Circolo Matematico di Palermo》2008,57(3):343-352
We obtain weighted algebra analogues of the classical theorems of N. Weiner and P. Lévy on absolutely convergent Fourier series
相似文献
19.
连续型凸动态规划的离散近似迭代法研究 总被引:1,自引:0,他引:1
为解决连续型凸动态规划的“维数灾”问题,提出了一种新的算法—离散近似迭代法.该算法的基本思路为:首先,将连续型状态变量离散化,根据网络图的构造方法将动态规划问题转化为多阶段有向赋权图;其次,运用极大代数求出起点至终点的最短路,即获得模型的一个可行解;最后,以该可行解为基础,继续迭代直到前后两个可行解非常接近.文章还证明了该算法的收敛性和线性收敛,并以一个具体例子验证了算法的有效性. 相似文献
20.
M. Barot 《Journal of Pure and Applied Algebra》2008,212(1):33-46
For the cluster category of a hereditary or a canonical algebra, or equivalently for the cluster category of the hereditary category of coherent sheaves on a weighted projective line, we study the Grothendieck group with respect to an admissible triangulated structure. 相似文献