Abstract
In this paper, we consider random multi-normed spaces introduced by Dales and Polyakov (Multi-Normed Spaces, 2012). Next, by the fixed point method, we approximate the multiplicatives on these spaces.
Highlights
The concept of random normed spaces and their properties are discussed in [ ]
We get an approximation for homomorphisms in these spaces
3 Approximation in dual random multi-normed space The following lemma is an immediate result of the definition of random multi-normed space
Summary
The concept of random normed spaces and their properties are discussed in [ ]. The concept of multi-normed spaces was introduced by Dales and Polyakov. In this paper we combine the mentioned concepts and introduce random multi-normed spaces. Let (E, μ, ∗) be a random normed space.
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