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Some new results on inner product quasilinear spaces
(Taylor & Francis, 2016-06-28) Bozkurt, Hacer; Yılmaz, Yılmaz
In this article, we research on the properties of the floor of an element taken from an inner product quasilinear space. We prove some theorems related to this new concept. Further, we try to explore some new results in quasilinear functional analysis. Also, some examples have been given which provide an important information about the properties of floor of an inner product quasilinear space.
On inner product quasilinear spaces and hilbert quasilinear spaces
(2016) Bozkurt, Hacer; Yılmaz, Yılmaz
In this paper, we state some properties of inner product quasilinear spaces. Moreover we introduce the concepts of inner product Ω-space, Hilbert Ω-space and investigate some related theorems. Also, we establish some differences of inner product quasilinear spaces from the inner product (linear) spaces