The extensions of isometries between the 2-dimensional normed spaces
Abstract
Isometric operator is a very significant subject in the study of space structure. In this paper, we will give some results about the Tingley's problem, and give sufficient conditions for isometric operator $T_{0}$, which is between classical 2-dimensional normed sequence spaces such as $\ell^{(2)}_{p}$ and $\ell^{(2)}_{\infty}$, to have a linear extension in some way.
Copyright © 2017 Pu Wang, Ruidong Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
P. Wang, R. Wang, The extensions of isometries between the 2-dimensional normed spaces, J. Math. Comput. Sci. 7 (2017), 347–363.
BibTeX
@article{Wang2017,
author = {Wang, Pu and Wang, Ruidong},
title = {The extensions of isometries between the 2-dimensional normed spaces},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {347--363},
doi = {}
}