Application of Michael's theorem and its converse to sublinear operators |
| |
Authors: | Yu É Linke |
| |
Institution: | (1) Irkutsk Computer Center, USSR |
| |
Abstract: | A theorem of Michael on continuous selectors and its converse are used in this article to study subdifferentials of continuous sublinear operators with values in a cone of lower semicontinuous functions. It is proved that such operators are subdifferentiable (i.e., have nonempty subdifferentials) if their domains are separable Banach spaces. Sublinear operators that are not subdifferentiable are found.Translated from Matematicheskie Zametki, Vol. 52, No. 1, pp. 67–75, July, 1992. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|