Abstract:In a host of mathematical applications, the bounded linear transformation arises. The aim of the present work is to report the definition of continuous for linear transformation by using the idea of G-fuzzy normed linear space (GFNLS) with proving the main theorem regarding the continuity. Besides, the notion of a bounded linear transformation depending on GFNLS is presented and some basic properties related to this notion are proved. Furthermore, the extension of a bounded linear transformation is discussed a… Show more
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