A Sequence Convergence of 1 -Dimensional Subspace in a Normed Space

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M. Manuharawati, D.N. Yunianti, M. Jakfar

2018 Journal of Physics: Conference Series Vol. 1108 Issue 1 Conference paper Cited by 5

Abstract

In this paper, the researchers will be introduced the concept of a sequence convergence of 1 -dimensional subspaces (lines) in a normed space and shall discuss some properties of it. Furthermore, it will be proved a continuity property of angles among subspaces in inner product spaces. Finally, the notion of limit of a sequence of 2 -dimensional subspaces (planes) in a normed space is studied. The researchers also obtain a result which describe how the convergent of a sequence of lines is associated to the convergent of a sequence of planes in a normed space. © Published under licence by IOP Publishing Ltd.

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Surabaya, Indonesia