Banach-Mazur Distance Between Two Dimensional Banach Spaces
DOI:
https://doi.org/10.5644/SJM.02.2.07Keywords:
Banach spaces, Banach-Mazur distanceAbstract
The purpose of the present paper is to investigate geometric properties of two-dimensional Banach spaces. We are also concerned with the Banach-Mazur distance between Banach spaces. For real or complex spaces $d(l^2_1,l^2_p)= 2^{1-\frac{1}{p}},$ if $1\leq p\leq 2$ and if $1\leq p\leq \infty$ and $l_p^2$ is two-dimensional real space, then $d(l^2_1,l^2_p)= 2^{\frac{1}{p}}.$
1991 Mathematics Subject Classification. 46B03, 46B03
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