ISOMETRIES ON THE SPACE s

The isometric extension of “into” mappings on unit spheres of AL-spaces

“…p (Γ), L p (μ) and generally, for the AL p -space (1 p < ∞) and C(Ω). In addition we provided an affirmative answer for F -normed spaces β (Γ), L β (μ) (0 < β < 1), ( βn ) and (s) (see [2][3][4][5][6][7][8]). Almost all of these papers considered only surjective mappings between the unit spheres of two spaces with the same type.…”

Wigner’s Theorem in &lt;i&gt;s&lt;/i&gt;* and &lt;i&gt;s&lt;sub&gt;n&lt;/sub&gt;(H)&lt;/i&gt; Spaces

“…Jia and Tan [9] get the conclusion about the  -type spaces. In [6], xiaohong Fu proved the problem of isometry extension in the s space detailedly.…”

On Isometric Extension in the Spacesn(H)

“…Kadets and Martín in [4] proved that any surjective isometry between unit spheres of finite-dimensional polyhedral Banach spaces has a linear isometric extension on the whole space. In the case when and are some metric vector spaces, the corresponding extension problem was investigated in [5,6]. See also [7][8][9][10][11][12][13][14] for some related results.…”