On fuzzy Soft Dual Space of fuzzy Soft Banach Algebra

Abstract

The concept of fuzzy Soft set theory was introduced by Molodtsov in the study
[8]. fuzzy Soft real numbers and properties were introduced in the study [6] and
fuzzy soft Banach algebra was defined in [11] . In this study, firstly we obtain a
fuzzy soft Banach algebra by defining a fuzzy soft norm on (Real numbers) which
is called fuzzy soft normed real space. By using this normed space we define the
fuzzy soft linear functional and investigate some of its properties. Secondly, we
introduce fuzzy soft dual space and fuzzy soft dual operator and investigate their
properties. Finally, we state and prove the theorem about representation of fuzzy
soft linear functional by inner product in fuzzy soft Hilbert spaces.