Guang Shi

most citedA geometric form of the Hahn-Banach extension theorem for L0 linear functions and the Goldstine-Weston theorem in random normed modules

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2011★ 2 cited

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 $L^{0} -$ linear functions and prove that the geometric form is equivalent to the analytic form of…

math.FA2010

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 $(E, ∥ \cdot ∥)$ under the rando…

math.FA2010

The Algebraic Structure of Finitely Generated $L^{0} (F, K)$ -Modules and the Helly Theorem in Random Normed Modules

Tiexin Guo, Guang Shi

Let $K$ be the scalar field of real numbers or complex numbers and $L^{0} (F, K)$ the algebra of equivalence classes of $K -$ valued random variables defined on a probability…

A geometric form of the Hahn-Banach extension theorem for L0 linear functions and the Goldstine-Weston theorem in random normed modules

The Goldstine-Weston theorem in random normed modules

The Algebraic Structure of Finitely Generated L0(F,K)-Modules and the Helly Theorem in Random Normed Modules

The Algebraic Structure of Finitely Generated $L^{0} (F, K)$ -Modules and the Helly Theorem in Random Normed Modules