在数学里,作用于一个有限维的内积空间,一个自伴算子(self-adjoint operator)等于自己的伴随算子;等价地说,表达自伴算子的矩阵是埃尔米特矩阵。埃尔米特矩阵等于自己的共轭转置。根据有限维的谱定理,必定存在着一个正交归一基,可以表达自伴算子为一个实值的对角矩阵。
...和点集拓扑:傅立叶变换,酉空间,规范正交组, 有界线性算子 ( bounded linear operator ),自伴算子(self-adjoint operator),正常算子(normal operator),酉算子(unitary operator),
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本质自伴算子 essentially self adjoint operator
非自伴算子 non-self-adjoint operator
非自伴算子代数 Non-selfadjoint Operator Algebras
非负自伴算子 [数] nonnegative self-adjoint operator
酉等价自伴算子 [数] unitarily equivalent self-adjoint operator
自伴微分算子 [数] self-adjoint differential operator
非自伴微分算子 [数] non-self-adjoint differential operator
完全连续自伴随算子 [数] completely continuous self-adjoint operator
形式自伴微分算子 formally self-adjoint differential operator
Non-selfadjoint operator algebra is closely related to other mathematics branches, so it quickly becomes an important branche of operator algebras.
非自伴算子代数与其它数学分支有着各种紧密的联系,因此很快成为算子代数的一个重要分支。
参考来源 - 套子代数上几类线性映射的研究·2,447,543篇论文数据,部分数据来源于NoteExpress
作为应用,获得自伴算子空间和对称算子空间上的约当环同构的具体刻画。
Application to characterizing the Jordan ring automorphisms on the space of self-adjoint operators and the space symmetric operators are also presented.
本文研究一类自伴算子的积分形式,利用这种形式证明这类自伴算子的谱集是离散的,然后推出几个性质。
This paper discusses the integral representation of a class of self-adjoint operators. By applying such representation, it is proved that the spectrums of such operators are discrete.
此前对微分算子的积算子自伴的研究主要集中于由同一个对称微分算式生成的两个或多个微分算子积的自伴问题上,取得了一些成果。
In this paper, we get the self-adjointness of the product operators generated by different two differential expressions by operator theory and matrix calculation.
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