2 citations · 2 across the 4 of their papers we have counts for
4 papers
Quasi--bases for Modules over a Commutative Ring
Guang Shi
In this paper we present the definition of quasi-bases for modules over a ring that is commutative but not necessarily division and discuss properties that guarantee the existence…
A geometric form of the Hahn-Banach extension theorem for L0 linear functions and the Goldstine-Weston theorem in random normed modules
Shien Zhao, Guang Shi
In this paper, we present a geometric form of the Hahn-Banach extension theorem for linear functions and prove that the geometric form is equivalent to the analytic form of…
The Goldstine-Weston theorem in random normed modules
Guang Shi
This article generalize the classical Goldstine-Weston theorem on normed spaces to one on random normed modules: the image of a random normed module under the rando…
The Algebraic Structure of Finitely Generated -Modules and the Helly Theorem in Random Normed Modules
Tiexin Guo, Guang Shi
Let be the scalar field of real numbers or complex numbers and the algebra of equivalence classes of valued random variables defined on a probability…