论文标题

某些横向类型属性的特征

Characterizations of some transversality-type properties

论文作者

Apostolov, Stoyan, Bivas, Mira, Ribarska, Nadezhda

论文摘要

获得了原始特征(必要条件和足够的条件)和亚逆转,内在横向和横向性的斜率特征。建立了内在横向的度量。阐明了内在横向和切向横向的关系。我们对内在横向性的表征以及Thao等人内在横向性的原始表征的等效性。在希尔伯特空间的环境中,证明了巴拉奇的一般空间,我们的表征较少。

Primal characterizations (necessary and sufficient conditions) and slope characterizations of subtransversality, intrinsic transversality and transversality are obtained. The metric nature of intrinsic transversality is established. The relation of intrinsic transversality and tangential transversality is clarified. The equivalence of our characterization of intrinsic transversality and the primal characterization of intrinsic transversality of Thao et al. in the setting of Hilbert spaces is proved, while in general Banach spaces our characterization is less restrictive.

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