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Some studies of SEP elements in a ring with involution 对合环中SEP元素的一些研究
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2306815z
Shiyin Zhao, Dandan Zhao, Junchao Wei
In this paper, we give some new characterizations of SEP elements and partial isometries in rings with involution. Especially, we discuss these characterizations from the perspectives of the existence of solutions to certain equations, and the form of the general solutions to some equations.
本文给出了对合环上SEP元和部分等距的一些新的性质。特别地,我们从某些方程解的存在性和某些方程一般解的形式的角度讨论了这些特征。
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引用次数: 0
Some properties of extended eigenvalues for operators pair 算子对扩展特征值的若干性质
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2306927a
A. Ammar, Chaimaa Bouchama, A. Jeribi
In this paper, we determine some properties of extended eigenvalues for operators pair. Furthermore, the relationship between this kind of operators pair and the operators pencils in Hilbert space is established.
本文给出了算子对扩展特征值的一些性质。进一步,建立了这类算子对与Hilbert空间中的算子铅笔之间的关系。
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引用次数: 0
On the Roman domination problem of some Johnson graphs Johnson图的罗马支配问题
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2307067z
Tatjana Zec
A Roman domination function (RDF) on a graph G with a set of vertices V = V(G) is a function f : V ? {0, 1, 2} which satisfies the condition that each vertex v ? V such that f (v) = 0 is adjacent to at least one vertex u such that f (u) = 2. The minimum weight value of an RDF on graph G is called the Roman domination number (RDN) of G and it is denoted by ?R(G). An RDF for which ?R(G) is achieved is called a ?R(G)-function. This paper considers Roman domination problem for Johnson graphs Jn,2 and Jn,3. For Jn,2, n ? 4 it is proved that ?R(Jn,2) = n ? 1. New lower and upper bounds for Jn,3, n ? 6 are derived using results on the minimal coverings of pairs by triples. These bounds quadratically depend on dimension n.
具有一组顶点V = V(G)的图G上的罗马支配函数(RDF)是函数f: V ?{0,1,2}满足每个顶点v ?使得f (V) = 0的V与至少一个顶点u相邻使得f (u) = 2。图G上RDF的最小权值称为图G的罗马支配数(RDN),用?R(G)表示。实现R(G)的RDF称为R(G)函数。本文研究了Johnson图Jn,2和Jn,3的罗马支配问题。对于Jn,2, n ?证明了?R(Jn,2) = n ?1. 新的Jn 3 n的下界和上界?6是由三元组对的最小覆盖的结果导出的。这些边界二次依赖于维数n。
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引用次数: 0
On a class of unitary operators on weighted Bergman spaces 加权Bergman空间上的一类酉算子
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2307013d
N. Das, Swarupa Roy
In this paper we consider a class of weighted composition operators defined on the weighted Bergman spaces L2a (dA?) where D is the open unit disk in C and dA?(z) = (? + 1)(1 ? |z|2)?dA(z), ? > ?1 and dA(z) is the area measure on D. These operators are also self-adjoint and unitary. We establish here that a bounded linear operator S from L2a (dA?) into itself commutes with all the composition operators C(?) a , a ? D, if and only if B?S satisfies certain averaging condition. Here B?S denotes the generalized Berezin transform of the bounded linear operator S from L2a (dA?) into itself, C(?) a f = ( f ??a), f ? L2a (dA?) and ? ? Aut(D). Applications of the result are also discussed. Further, we have shown that ifMis a subspace of L?(D) and if for ? ? M, the Toeplitz operator T(?) ? represents a multiplication operator on a closed subspace S ? L2a (dA?), then ? is bounded analytic on D. Similarly if q ? L?(D) and Bn is a finite Blaschke product and M(?) q ( Range C(?) Bn) ? L2a (dA?), then q ? H?(D). Further, we have shown that if ? ? Aut(D), then N = {q ? L2a (dA?) : M(?) q (Range C(?)?) ? L2a (dA?)} = H?(D) if and only if ? is a finite Blaschke product. Here M(?)?, T(?)? , C(?)? denote the multiplication operator, the Toeplitz operator and the composition operator defined on L2a (dA?) with symbol ? respectively.
在本文中,我们考虑了一类定义在加权Bergman空间L2a (dA?)上的加权复合算子,其中D是C中的开放单位盘,dA?(z) = (?)+ 1 (1 ?| | 2 z) ? dA (z) ?> ?1, dA(z)是d上的面积测度,这些算子也是自伴随的酉算子。我们在这里建立一个有界线性算子S从L2a (dA?)到它自身与所有复合算子C(?) a a ?D,当且仅当B?S满足一定的平均条件。B ?S表示有界线性算子S从L2a (dA?)到自身的广义Berezin变换,C(?) a f = (f ?a), f ?L2a (dA?)和?? Aut (D)。并对结果的应用进行了讨论。进一步,我们证明了if是L?(D)的一个子空间,如果为?? M, Toeplitz算子T(?) ?表示闭子空间S上的乘法算子?L2a (dA?)在d上是有界解析的,同理,如果q ?L?(D)和Bn是有限Blaschke积,M(?) q(范围C(?))Bn) ?L2a (dA?),然后q ?H ? (D)。此外,我们已经证明,如果?? Aut(D),则N = {q ?L2a (dA?): M(?) q(范围C(?)?) ?L2a (dA?)} = H?(D)当且仅当?是有限Blaschke积。这里M (?) ?T(?)吗?C(?)吗?用符号?表示在L2a (dA?)上定义的乘法运算符、Toeplitz运算符和复合运算符。分别。
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引用次数: 0
Generalized fractional integrals in the vanishing generalized weighted local and global Morrey spaces 消失广义加权局部和全局Morrey空间中的广义分数阶积分
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2306893k
A. Kucukaslan
In this paper, we prove the boundedness of generalized fractional integral operators I? in the vanishing generalized weighted Morrey-type spaces, such as vanishing generalized weighted local Morrey spaces and vanishing generalized weighted global Morrey spaces by using weighted Lp estimates over balls. In more detail, we obtain the Spanne-type boundedness of the generalized fractional integral operators I? in the vanishing generalized weighted local Morrey spaces with wq ? A1+ q/p' for 1 < p < q < ?, and from the vanishing generalized weighted local Morrey spaces to the vanishing generalized weighted weak local Morrey spaces with w A1,q for p = 1, 1 < q < ?. We also prove the Adams-type boundedness of the generalized fractional integral operators I? in the vanishing generalized weighted global Morrey spaces with w Ap,q for 1 < p < q < ? and from the vanishing generalized weighted global Morrey spaces to the vanishing generalized weighted weak global Morrey spaces with w A1,q for p = 1, 1 < q < ?. The our all weight functions belong to Muckenhoupt-Weeden classes Ap,q.
本文证明了广义分数阶积分算子的有界性。在消失广义加权Morrey型空间中,如消失广义加权局部Morrey空间和消失广义加权全局Morrey空间,利用球上的加权Lp估计。更详细地,我们得到了广义分数阶积分算子I?在消亡广义加权局部Morrey空间中从消失广义加权局部Morrey空间到消失广义加权弱局部Morrey空间,对于p = 1,1 < q < ?证明了广义分数阶积分算子的adams型有界性。在wap,q为1 < p < q < ?的消失广义加权全局Morrey空间中从消失广义加权整体Morrey空间到w A1,q对于p = 1,1 < q < ?的消失广义加权弱整体Morrey空间。我们所有的权函数都属于Muckenhoupt-Weeden类Ap,q。
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引用次数: 0
Spectral properties of the finite system of Klein-Gordon S-wave equations with general boundary condition 具有一般边界条件的Klein-Gordon s波方程有限系统的谱性质
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2306907a
E. Arpat, N. Yokuş, N. Coskun
The spectral characteristics of the operator L is studied where L is defined within the Hilbert space L2(R+, CV) given by a finite system of Klein-Gordon type differential equations and boundary condition at general form. The research of the Klein-Gordon type operator continues to be an important topic for researchers due to the range of applicability of them in numerous branches of mathematics and quantum physics. Contrary to the previous works, we take the potential as complex valued and generalize the problem to the matrix Klein-Gordon operator case. The spectrum is derived by determining the Jost function and resolvent operator of the prescribed operator. Further, we provide the conditions that must be met for the certain quantitative properties of the spectrum.
研究了算子L在Hilbert空间L2(R+, CV)中的谱特征,该空间由一般形式的Klein-Gordon型微分方程和边界条件有限系统给出。由于Klein-Gordon型算子在数学和量子物理的许多分支中具有广泛的适用性,其研究一直是研究人员的一个重要课题。与以往的工作相反,我们将势作为复值,并将问题推广到矩阵Klein-Gordon算子的情况。谱是通过确定约斯特函数和规定算子的解析算子推导出来的。此外,我们还提供了谱的某些定量性质必须满足的条件。
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引用次数: 0
On the continuity of the solution to the Minkowski problem for Lp torsional measure Lp扭转测度Minkowski问题解的连续性
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2308387l
Ni Li, Shuang Mou
This paper deals with on the continuity of the solution to the Minkowski problem for Lp torsional measure. For p ? (1, n + 2) ? (n + 2,?), we show that a sequence of convex bodies in Rn is convergent in Hausdorff metric if the sequence of the Lp torsional measures (associated with these convex bodies) is weakly convergent. Moreover, we also prove that the solution to the Minkowski problem for Lp torsional measure is continuous with respect to p.
本文讨论了Lp扭转测度Minkowski问题解的连续性问题。对于p ?(1, n + 2) ?(n + 2,?),我们证明了如果(与这些凸体相关的)Lp扭转测度序列弱收敛,则Rn中的凸体序列在Hausdorff度量中收敛。此外,我们还证明了Lp扭转测度Minkowski问题的解相对于p是连续的。
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引用次数: 0
On approximately biprojective and approximately biflat Banach algebras 关于近似双投影和近似双平面Banach代数
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2308295s
A. Sahami, A. Bodaghi
In this paper, we study the approximate biprojectivity and the approximate biflatness of a Banach algebra A and find some relations between theses concepts with ?-amenability and ? -contractibility, where ? is a character on A. Among other things, we show that ?-Lau product algebra L1(G) ?? A(G) is approximately biprojective if and only if G is finite, where L1(G) and A(G) are the group algebra and the Fourier algebra of a locally compact group G, respectively. We also characterize approximately biprojective and approximately biflat semigroup algebras associated with the inverse semigroups.
本文研究了一类Banach代数a的近似双投影性和近似双平面性,并得到了这些概念之间的关系。-收缩性,在哪里?是a上的一个字符。除此之外,我们证明了?-劳积代数L1(G) ??当且仅当G有限时,A(G)是近似双投影的,其中L1(G)和A(G)分别是局部紧群G的群代数和傅里叶代数。我们还刻画了与逆半群相关的近似双投影半群和近似双平面半群代数。
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引用次数: 0
Orlicz-Lacunary bicomplex sequence spaces of difference operators 差分算子的orlicz - lacary双复序列空间
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2308421r
K. Raj, A. Esi, C. Sharma
In the present paper we introduce and study some lacunary difference bicomplex sequence spaces by means of Orlicz functions. We make an effort to study some algebraic and topological properties of these sequence spaces. We also show that these spaces are complete paranormed spaces. Further, some inclusion relations between these spaces and some interesting examples are established. Finally, we prove some results on modified complex Banach Algebra in the third section of the paper.
本文利用Orlicz函数,引入并研究了一些空白差分双复序列空间。我们努力研究这些序列空间的一些代数和拓扑性质。我们还证明了这些空间是完全副形空间。进一步,建立了这些空间之间的包含关系,并给出了一些有趣的例子。最后,在论文的第三部分,我们证明了一些关于修正复Banach代数的结果。
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引用次数: 0
Further inequalities related to synchronous and asynchronous functions 更多与同步和异步函数相关的不等式
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2308599g
Mahdi Ghasvareh, M. Omidvar
This paper intends to show some operator and norm inequalities involving synchronous and asynchronous functions. Among other inequalities, it is shown that if A, B ? B(H) are two positive operators and f,g: J ? R are asynchronous functions, then f(A)g(A) + f(B)g(B) ? 1/2(f2(A)+12 (A) + f2(B)+g2(B)).
本文给出了同步函数和异步函数的算子和范数不等式。在其他不等式中,它表明如果A, B ?B(H)是两个正算子f,g: J ?R是异步函数,那么f(A)g(A) + f(B)g(B) ?1/2(f2(A)+12 (A)+ f2(B)+g2(B))
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