On Complex Interval Vectors and Bounded Interval Sequences
Mahir Elmuhammad
Department of Mathematics, Inonu University, 44280, MALATYA, Turkiye.
Sumeyye Elsemali
Department of Mathematics, Inonu University, 44280, MALATYA, Turkiye.
Yilmaz Yilmaz *
Department of Mathematics, Inonu University, 44280, MALATYA, Turkiye.
*Author to whom correspondence should be addressed.
Abstract
In this work, we will primarily focus on the topological properties of the n-dimensional complex interval space \(I^{n}_C\) and demonstrate that it is an Ω−space. Such spaces are a special class of normed quasilinear spaces and are well-suited for applications. Furthermore, since bounded interval sequences play an important role in interval arithmetic and in some scientific applications, we will investigate the properties of the set Iℓ∞, which is the class of bounded complex interval sequences.
Keywords: Interval vector, quasilinear spaces, inner product, banach quasilinear space