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ISOMETRIES BETWEEN UNIT SPHERES OF THE
${\ell }^{\infty } $-SUM OF STRICTLY CONVEX NORMED SPACES
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 88 / Issue 3 / December 2013
- Published online by Cambridge University Press:
- 28 March 2013, pp. 369-375
- Print publication:
- December 2013
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- Article
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- You have access
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We prove that any surjective isometry between unit spheres of the
${\ell }^{\infty } $-sum of strictly convex normed spaces can be extended to a linear isometry on the whole space, and we solve the isometric extension problem affirmatively in this case.
