TY - JOUR ID - TI - Bounded Linear Transformations in G-Fuzzy Normed Linear Space AU - Mayada N. Mohammedali AU - Raghad I. Sabri PY - 2021 VL - 13 IS - 1 SP - Math Page 110 EP - 119 JO - Journal of Al-Qadisiyah for Computer Science and Mathematics مجلة القادسية لعلوم الحاسوب والرياضيات SN - 20740204 25213504 AB - 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 and proved. Finally, a characterization for the notion G-B(X,Y) which is consisting of all bounded linear transformations is presented and proved that this characterization is a complete GFNLS if the space Y is complete.

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