e-isometry Mapping between Real Banach Spaces with Basis

Authors

  • Minanur Rohman School of Islamic Studies Ma’had Aly Al-Hikam Malang
  • İlker Eryılmaz Ondokuz Mayıs Üniversitesi

DOI:

https://doi.org/10.59287/as-proceedings.553

Keywords:

e-İsometry, Banach Space, İsometry, Basis, Bidual

Abstract

In this paper we show that e -isometry mapping preserves base conditions between two Banach spaces. Let X and Y be Banach spaces, X has a seminormalized unconditional basis (xn ), and f: X -> Y be a standard e-isometry. Then (f(xn )) is a seminormalized unconditional basic sequence in Y. We also discuss some results regarding this finding.

Author Biographies

Minanur Rohman, School of Islamic Studies Ma’had Aly Al-Hikam Malang

Department of Primary School Teacher Education,  Indonesia

İlker Eryılmaz, Ondokuz Mayıs Üniversitesi

Department of Mathematics, Türkiye

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Published

2023-12-12

How to Cite

Rohman, M., & Eryılmaz, İlker. (2023). e-isometry Mapping between Real Banach Spaces with Basis. AS-Proceedings, 1(6), 169–174. https://doi.org/10.59287/as-proceedings.553

Issue

Vol. 1 No. 6 (2023): Proceeding Book of 2nd International Conference on Frontiers in Academic Research ICFAR 2023

Section

Conference Papers