共查询到19条相似文献,搜索用时 46 毫秒
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本文研究了由特征值唯一确定的3×3实Hankel矩阵.借助于M.Fielder[1]的结论并经过细致的讨论,得到3×3实Hankel矩阵由其特征值唯一确定的充分必要条件,刻画了3×3实Hankel矩阵的一种特征值性质. 相似文献
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本文对被屠伯埙称为亚正定的矩阵类进行了推广,即给出了(n,1)-广义正定矩阵的概念,进而得到了(n,1)-广义正定矩阵的一系列性质,最后将关于正定阵的Hadamard乘积的Schur定理及华罗庚定理推广到(n,1)-广义正定矩阵. 相似文献
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本文研究行满秩Hankel矩阵分解为一个真正的(proper)Hankel矩阵与一个退化的(de- generate)Hankel矩阵之拟直和的存在性及唯一性问题. 相似文献
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用群表示论研究有限群的子群的构造时,我们遇到了如下必需解决的问题:“找出体上方阵的逆阵的子矩阵的逆与原矩阵的子阵及其某个子阵的逆的关系”。这一问题的解决不仅对表示与子表示之间的联系、且对复矩阵论较深入的领域—矩阵的“子结构”亦是相当有用的。本短文将用一特殊技巧来解决上述问题。 相似文献
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1引言 设A=(a_η)∈Cm~(3n),若存在正对角阵D.使得AD为严格对角占优矩阵,则A称为广义严格对角占优矩阵,记作A∈SGDDM. 相似文献
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文[2]证明了实对称正定矩阵的子式阵仍然是实对称正定矩阵,文[3]给出了一般的正定矩阵的的概念,本文利用标准型给出了一般正定矩阵的子式阵仍然是正定矩阵的充要条件. 相似文献
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广义酉矩阵与广义Hermite矩阵 总被引:22,自引:3,他引:19
给出了广义酉矩阵与广义(斜)Hermite矩阵的概念,研究了它们的性质及其与酉阵、共轭辛阵、Hermite阵、Hamilton及广义逆矩阵之间的联系;取得了许多新的结果;推广了酉矩阵、Hermite阵与斜Hermite阵间的相应结果,特别将正交阵的广义Cayley分解推广到了广义酉矩阵上;将各类酉矩阵、Hermite矩阵及广义逆矩阵统一了起来. 相似文献
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S. Bermudo S. A. M. Marcantognini M. D. Morán 《Czechoslovak Mathematical Journal》2006,56(4):1147-1163
Hankel operators and their symbols, as generalized by V. Pták and P. Vrbová, are considered. The present note provides a parametric
labeling of all the Hankel symbols of a given Hankel operator X by means of Schur class functions. The result includes uniqueness criteria and a Schur like formula. As a by-product, a new
proof of the existence of Hankel symbols is obtained. The proof is established by associating to the data of the problem a
suitable isometry V so that there is a bijective correspondence between the symbols of X and the minimal unitary extensions of V. 相似文献
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In this paper, we generalize the concept of asymptotic Hankel operators on H2(D) to the Hardy space H2(Dn) (over polydisk) in terms of asymptotic Hankel and partial asymptotic Hankel operators and investigate some properties in case of its weak and strong convergence. Meanwhile, we introduce ith-partial Hankel operators on H2(Dn) and obtain a characterization of its compactness for n > 1. Our main results include the containment of Toeplitz algebra in the collection of all strong partial asymptotic Hankel operators on H2(Dn). It is also shown that a Toeplitz operator with symbol φ is asymptotic Hankel if and only if φ is holomorphic function in L∞(Tn). 相似文献
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HANKELOPERATORSANDHANKELALGEBRASYANSHAOZONGCHENXIAOMANGUOKUNYUManuscriptreceivedJune23,1995.InstituteofMathematics,Fuda... 相似文献
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Using Hankel transform the symbol 'a' is defined and the pseudo-differential operator (p.d.o.) hμ,a associated with the Bessel operator d 2/dx 2 + (1 ? 4μ 2)/4x 2 in terms of this symbol is defined. It is shown that the operator hμ,a is a continuous linear map of a Hankel invariant space into itself. A special pseudo-differential operator called the Hankel potential is defined and some of its properties are investigated. 相似文献
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Caixing Gu 《Proceedings of the American Mathematical Society》2001,129(8):2353-2358
We prove that for two Hankel operators and on the Hardy space of the unit disk either the kernel of equals the kernel of or the kernel of equals the kernel of . In fact we prove a version of the above result for products of an arbitrary finite number of Hankel operators. Some immediate corollaries are generalizations of the result of Brown and Halmos on zero products of two Hankel operators and the result of Axler, Chang and Sarason on finite rank products of two Hankel operators. Simple examples show our results are sharp.
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C. Baccar 《Integral Transforms and Special Functions》2016,27(6):413-429
The aim of this paper is to prove Heisenberg-type uncertainty principles for the continuous Hankel wavelet transform. We also analyse the concentration of this transform on sets of finite measure. Benedicks-type uncertainty principle is given. 相似文献