Fuzzy Hilbert $C^*$-modules

초록

In the present article, we introduce and study the notion of fuzzy inner product A-module, where A is an arbitrary unital C ∗-algebra. Moreover, we construct some examples of particular classes of C∗-algebras. As an application, we obtain some Mn(A)-valued fuzzy inner product, where Mn(A) denotes the n × n matrix C∗-algebra of a unital C∗-algebra A. Moreover, we obtain some relations with the notion of C∗-valued fuzzy normed spaces.

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