Extension theorems and the Riesz decomposition property (Q1412294)

This paper is a survey of the contributions by the authors and N.-C. Wong, concerning the following two problems: (a) the Riesz decomposition property for spaces of regular operators; (b) the extension of positive operators. The original results appeared in [\textit{N. Dăneţ}, Proc. Am. Math. Soc. 129, 539--542 (2001; Zbl 0974.47033) and Suppl. Rend. Circ. Mat. Palermo, II. Ser. 68(1), 373--380 (2002; Zbl 1029.47023); \textit{R.-M. Dăneţ} and \textit{N.-C. Wong}, Taiwanese J. Math. 6, 241--246 (2002; Zbl 1052.47030) and Suppl. Rend. Circ. Mat. Palermo, II. Ser. 68(1), 381--387 (2002; Zbl 1041.47016)].