2-Universally complete Riesz spaces and inverse-closed Riesz spaces |
| |
Authors: | F Montalvo B Requejo |
| |
Institution: | Dpto. de Matemáticas, Univ. de Extremadura, 06071 Badajoz, Spain |
| |
Abstract: | In this paper we show mainly two results about uniformly closed Riesz subspaces of ?X containing the constant functions. First, for such a Riesz subspace E, we solve the problem of determining the properties that a real continuous functiondefined on a proper open interval of ?should have in order that the conditions “E is closed under composition with ” and “E is closed under inversion in X” become equivalent. The second result, reformulated in the more general frame of the Archimedean Riesz spaces with weak order unit e, establishes that E (e-uniformly complete and e-semisimple) is closed under inversion in C(Spec E) if and only if E is 2-universally e-complete. |
| |
Keywords: | 06F20 54C35 46A40 |
本文献已被 ScienceDirect 等数据库收录! |
|