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 convex open subset 的翻译结果: 查询用时：0.383秒
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 convex open subset 开凸子集(1)
 开凸子集
 A locally convex space is said to be a Gteaux differentiability space (GDS) provided every continuous convex function defined on a nonempty convex open subset D of the space is densely Gteaux differentiable in D . 局部凸空间X称为G^ateaux可微空间(GDS),如果定义在它的非空开凸子集D上的每个连续凸函数均在D的一个稠密子集上处处G^ateaux可微. 短句来源

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 convex open subset
 This paper is devoted to the problem of characterizing the class of the stationary sets for J-convex functions , where is a convex open subset of . If F=R, the field of real numbers, i induces an embedding j: X ? ARn and j(X) is a convex open subset of an affine space ARn. Let be a convex open subset of with -boundary, and let a be a point in . ( is a convex open subset of , and M is a given symmetric matrix.) We prove that this infimum is the smallest eigenvalue of M if is .
 A locally convex space is said to be a Gteaux differentiability space (GDS) provided every continuous convex function defined on a nonempty convex open subset D of the space is densely Gteaux differentiable in D .This paper shows that the product of a GDS and a family of separable Frchet spaces is again a GDS,and that the Product of a GDS and an arbitrary locally convex space endowed with the weak topology is a GDS. 局部凸空间X称为G^ateaux可微空间(GDS),如果定义在它的非空开凸子集D上的每个连续凸函数均在D的一个稠密子集上处处G^ateaux可微.本文证明了GDS与任一族可分Frchet空间的乘积,以及GDS与任一赋予弱拓扑的局部凸空间的乘积,仍是GDS.
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