In this paper we define and study chain conditions for Hilbert C＊-modules through their C＊-algebras of compact operators and discuss their perseverance under Morita equivalence and tensor products. We show that thes...In this paper we define and study chain conditions for Hilbert C＊-modules through their C＊-algebras of compact operators and discuss their perseverance under Morita equivalence and tensor products. We show that these chain conditions are passed from the C＊-algebra to its Hilbert module under certain conditions. We also study chain conditions for Hilbert modules coming from inclusion of C＊-algebra with a faithful conditional expectation.展开更多
In this article, we introduce the notion of generalized derivations on Hilbert C＊-modules. We use a fixed-point method to prove the generalized Hyers-Ulam-Rassias stability associated to the Pexiderized Cauchy-Jensen...In this article, we introduce the notion of generalized derivations on Hilbert C＊-modules. We use a fixed-point method to prove the generalized Hyers-Ulam-Rassias stability associated to the Pexiderized Cauchy-Jensen type functional equationrf（x＋y/r）＋sg（x-y/s）=2h（x）for r, s ∈ R ／ {0} on Hilbert C＊-modules, where f, g, and h are mappings from a Hilbert C＊-module M to M.展开更多
We characterize A-linear symmetric and contraction module operator semigroup{Tt}t∈R+L(l2(A)),where A is a finite-dimensional C-algebra,and L(l2(A))is the C-algebra of all adjointable module maps on l2(A).Next,we intr...We characterize A-linear symmetric and contraction module operator semigroup{Tt}t∈R+L(l2(A)),where A is a finite-dimensional C-algebra,and L(l2(A))is the C-algebra of all adjointable module maps on l2(A).Next,we introduce the concept of operator-valued quadratic forms,and give a one to one correspondence between the set of non-positive definite self-adjoint regular module operators on l2(A)and the set of non-negative densely defined A-valued quadratic forms.In the end,we obtain that a real and strongly continuous symmetric semigroup{Tt}t∈R+L(l2(A))being Markovian if and only if the associated closed densely defined A-valued quadratic form is a Dirichlet form.展开更多
In this note, we establish a new characterization on g-frames in Hilbert C;-modules from the operator-theoretic point of view, with which we provide a correction to one result recently obtained by Yao(Yao X Y. Some pr...In this note, we establish a new characterization on g-frames in Hilbert C;-modules from the operator-theoretic point of view, with which we provide a correction to one result recently obtained by Yao(Yao X Y. Some properties of g-frames in Hilbert C;-modules（in Chinese）. Acta Math. Sinica, 2011, 54（1）: 1–8.).展开更多
In this paper we will obtain a Stone type theorem under the frame of Hilbert C＊-module, such that the classical Stone theorem is our special case. Then we use it as a main tool to obtain a spectrum decomposition theo...In this paper we will obtain a Stone type theorem under the frame of Hilbert C＊-module, such that the classical Stone theorem is our special case. Then we use it as a main tool to obtain a spectrum decomposition theorem of certain stationary quantum stochastic process. In the end, we will give it an interpretation in statistical mechanics of multi-linear response.展开更多
南航金城学院教材管理系统分为学生订购B/S模块和系统管理C/S模块,系统开发采用Net2005+Sql Server 2005搭建,系统具有学生订购教材及相关信息查询、教师推荐教材及相关信息查询、系统管理员发布站内通知的功能,研究及实现这套系统可以...南航金城学院教材管理系统分为学生订购B/S模块和系统管理C/S模块,系统开发采用Net2005+Sql Server 2005搭建,系统具有学生订购教材及相关信息查询、教师推荐教材及相关信息查询、系统管理员发布站内通知的功能,研究及实现这套系统可以使该院教材管理工作流程更加清晰。经过测试,教材订购及查询的基本功能已经实现。同时,具有较好的可扩展性,可维护性。展开更多
In the paper, we introduce weak Bessel sequences and weak frames in a Hilbert C＊-module 74, and give a characterization of weak Bessel sequences, weak frames, normalized tight weak frames, and dual weak frames to eac...In the paper, we introduce weak Bessel sequences and weak frames in a Hilbert C＊-module 74, and give a characterization of weak Bessel sequences, weak frames, normalized tight weak frames, and dual weak frames to each other, respectively. Using .A-valued linear bounded operator U ： H → l^2（.A）, V＊U = I, a coustructing method of dual weak frame {xj^＊ ： j ∈ H} for a given weak frame {Xj ： j ∈ J} is obtained. Moreover, pseudo frame decompositions for 74 is given.展开更多
Let E be a Hilbert C＊-module,and Y be an orthogonally complemented closed submodule of E.The authors generalize the definitions of Y-complementability and Y-compatibility for general（adjointable） operators from Hil...Let E be a Hilbert C＊-module,and Y be an orthogonally complemented closed submodule of E.The authors generalize the definitions of Y-complementability and Y-compatibility for general（adjointable） operators from Hilbert space to Hilbert C＊-module,and discuss the relationship between each other.Several equivalent statements about Y-complementability and Y-compatibility,and several representations of Schur complements of Y-complementable operators（especially,of Y-compatible operators and of positive Y-compatible operators） on a Hilbert C＊-module are obtained.In addition,the quotient property for Schur complements of matrices is generalized to the quotient property for Schur complements of Y-complementable operators and Y＊-complementable operators on a Hilbert C＊-module.展开更多
针对变电站绝缘套管过热红外图像检测精度不高的问题,提出了基于改进YOLO第7版(you only look once version 7,YOLOv7)算法的检测技术。通过引入改良的跨阶段部分网络幽灵版本3(cross stage partial network ghost version 3,C3Ghost)...针对变电站绝缘套管过热红外图像检测精度不高的问题,提出了基于改进YOLO第7版(you only look once version 7,YOLOv7)算法的检测技术。通过引入改良的跨阶段部分网络幽灵版本3(cross stage partial network ghost version 3,C3Ghost)模块替换头部网络中的扩展高效层聚合网络(extended efficient layer aggregation network,E-ELAN)模块,优化了网络结构,增强了算法对小目标的识别能力。此外,整合了轻量级基于归一化的注意力模块(normalization-based attention module,NAM)到主干网络中以提高对红外图像特征的利用效率,并引入幽灵卷积(ghost convolution,GhostConv)模块替换了网络中的所有卷积,显著降低了模型的大小。结果表明,与YOLOv7初始算法相比,改进YOLOv7算法在F1评分和平均精确率均值上分别提高了19.51%和16.57%,算法的参数量减小了16.3 MB,且检测速度达到了41帧/s,充分证明了该算法在变电站实际应用中的有效性。该研究不仅显著提高了变电站绝缘套管过热红外图像检测的准确性,也能为后续相关技术的研究提供参考。展开更多
文摘In this paper we define and study chain conditions for Hilbert C＊-modules through their C＊-algebras of compact operators and discuss their perseverance under Morita equivalence and tensor products. We show that these chain conditions are passed from the C＊-algebra to its Hilbert module under certain conditions. We also study chain conditions for Hilbert modules coming from inclusion of C＊-algebra with a faithful conditional expectation.
文摘In this article, we introduce the notion of generalized derivations on Hilbert C＊-modules. We use a fixed-point method to prove the generalized Hyers-Ulam-Rassias stability associated to the Pexiderized Cauchy-Jensen type functional equationrf（x＋y/r）＋sg（x-y/s）=2h（x）for r, s ∈ R ／ {0} on Hilbert C＊-modules, where f, g, and h are mappings from a Hilbert C＊-module M to M.
基金supported by the Fundamental Research Funds for the Central Universitiesthe Research Funds of Remin University of China(Grant No.10XNJ033)
文摘We characterize A-linear symmetric and contraction module operator semigroup{Tt}t∈R+L(l2(A)),where A is a finite-dimensional C-algebra,and L(l2(A))is the C-algebra of all adjointable module maps on l2(A).Next,we introduce the concept of operator-valued quadratic forms,and give a one to one correspondence between the set of non-positive definite self-adjoint regular module operators on l2(A)and the set of non-negative densely defined A-valued quadratic forms.In the end,we obtain that a real and strongly continuous symmetric semigroup{Tt}t∈R+L(l2(A))being Markovian if and only if the associated closed densely defined A-valued quadratic form is a Dirichlet form.
基金The NSF(11271148,11561057)of Chinathe NSF(20151BAB201007)of Jiangxi Provincethe Science and Technology Project(GJJ151061)of Jiangxi Education Department
文摘In this note, we establish a new characterization on g-frames in Hilbert C;-modules from the operator-theoretic point of view, with which we provide a correction to one result recently obtained by Yao(Yao X Y. Some properties of g-frames in Hilbert C;-modules（in Chinese）. Acta Math. Sinica, 2011, 54（1）: 1–8.).
基金Supported partially by National Natural Science Foundation of China (Grant Nos. 10871111, 10571099 and 10571003)
文摘In this paper we will obtain a Stone type theorem under the frame of Hilbert C＊-module, such that the classical Stone theorem is our special case. Then we use it as a main tool to obtain a spectrum decomposition theorem of certain stationary quantum stochastic process. In the end, we will give it an interpretation in statistical mechanics of multi-linear response.
文摘南航金城学院教材管理系统分为学生订购B/S模块和系统管理C/S模块,系统开发采用Net2005+Sql Server 2005搭建,系统具有学生订购教材及相关信息查询、教师推荐教材及相关信息查询、系统管理员发布站内通知的功能,研究及实现这套系统可以使该院教材管理工作流程更加清晰。经过测试,教材订购及查询的基本功能已经实现。同时,具有较好的可扩展性,可维护性。
基金Supported by the Emphasis Supported Subject Foundation of Shanxi Province（20055026） Supported by the Emphasis Science Foundation of Yuncheng University（20060103）
文摘In the paper, we introduce weak Bessel sequences and weak frames in a Hilbert C＊-module 74, and give a characterization of weak Bessel sequences, weak frames, normalized tight weak frames, and dual weak frames to each other, respectively. Using .A-valued linear bounded operator U ： H → l^2（.A）, V＊U = I, a coustructing method of dual weak frame {xj^＊ ： j ∈ H} for a given weak frame {Xj ： j ∈ J} is obtained. Moreover, pseudo frame decompositions for 74 is given.
基金Project supported by the National Natural Science Foundation of China (Nos.10771161,11071188)
文摘Let E be a Hilbert C＊-module,and Y be an orthogonally complemented closed submodule of E.The authors generalize the definitions of Y-complementability and Y-compatibility for general（adjointable） operators from Hilbert space to Hilbert C＊-module,and discuss the relationship between each other.Several equivalent statements about Y-complementability and Y-compatibility,and several representations of Schur complements of Y-complementable operators（especially,of Y-compatible operators and of positive Y-compatible operators） on a Hilbert C＊-module are obtained.In addition,the quotient property for Schur complements of matrices is generalized to the quotient property for Schur complements of Y-complementable operators and Y＊-complementable operators on a Hilbert C＊-module.
文摘针对变电站绝缘套管过热红外图像检测精度不高的问题,提出了基于改进YOLO第7版(you only look once version 7,YOLOv7)算法的检测技术。通过引入改良的跨阶段部分网络幽灵版本3(cross stage partial network ghost version 3,C3Ghost)模块替换头部网络中的扩展高效层聚合网络(extended efficient layer aggregation network,E-ELAN)模块,优化了网络结构,增强了算法对小目标的识别能力。此外,整合了轻量级基于归一化的注意力模块(normalization-based attention module,NAM)到主干网络中以提高对红外图像特征的利用效率,并引入幽灵卷积(ghost convolution,GhostConv)模块替换了网络中的所有卷积,显著降低了模型的大小。结果表明,与YOLOv7初始算法相比,改进YOLOv7算法在F1评分和平均精确率均值上分别提高了19.51%和16.57%,算法的参数量减小了16.3 MB,且检测速度达到了41帧/s,充分证明了该算法在变电站实际应用中的有效性。该研究不仅显著提高了变电站绝缘套管过热红外图像检测的准确性,也能为后续相关技术的研究提供参考。
