Riesz Properties of Multiplication of a Pair of g-Sequences

In this article, the properties of completeness, being Riesz, being basis and minimality of a pair of g-sequences Lambda = {Lambda(i) : H -> H-i}(i is an element of(sic)) and Gamma = {Gamma(i) : H -> H-i}(i is an element of(sic)) are simultaneously studied as well as investigating the above-mentioned properties about the sequences of subspaces induced by them. We show that the above properties are an extension of the definitions known about a single g-sequence Lambda. The effect of invertibility of the multiplier operator of sequences Lambda, Gamma on the above-mentioned properties will be investigated.