AbstractIn this paper, we study the isometric extension problem between the unit spheres of L∞(Γ)-type space and a Banach space E. We prove that every surjective isometry between the unit spheres S(L∞(Γ)) and S(E) can be extended to be a linear isometry of L∞(Γ) onto E. Moreover, we study this problem between C(Ω) and a Banach space and also get an affirmative answer
We prove that if a one-to-one mapping f : (n ≥ 2) preserves the unit n - 1 spheres (Sn -1), then f i...
In this article, we prove that any surjective isometry between unit spheres of $\ell^{\infty}$-sum o...
In this article, we prove that any surjective isometry between unit spheres of $\ell^{\infty}$-sum o...
AbstractIn this paper, we will study the isometric extension problem for L1-spaces and prove that ev...
AbstractIn this paper we shall present a short proof on the extension problem of isometric embedding...
AbstractIn this paper, we will study the isometric extension problem for L1-spaces and prove that ev...
AbstractIn this paper we shall present a short proof on the extension problem of isometric embedding...
[[abstract]]This is a short survey on the extension of isometric mappings be- tween the unit spheres...
In this paper, we study the extension of isometries between the unit spheres of L∞ and a normed...
AbstractWe call a Banach space X admitting the Mazur–Ulam property (MUP) provided that for any Banac...
AbstractWe call a Banach space X admitting the Mazur–Ulam property (MUP) provided that for any Banac...
summary:In this note, we prove that any “bounded” isometries of separable metric spaces can be repre...
summary:In this note, we prove that any “bounded” isometries of separable metric spaces can be repre...
AbstractIn this paper, we characterize isometries between unit spheres of F-space. Furthermore, we s...
Natural Science Foundation of China [10771175, 11071201, 11001231]We call a Banach space X admitting...
We prove that if a one-to-one mapping f : (n ≥ 2) preserves the unit n - 1 spheres (Sn -1), then f i...
In this article, we prove that any surjective isometry between unit spheres of $\ell^{\infty}$-sum o...
In this article, we prove that any surjective isometry between unit spheres of $\ell^{\infty}$-sum o...
AbstractIn this paper, we will study the isometric extension problem for L1-spaces and prove that ev...
AbstractIn this paper we shall present a short proof on the extension problem of isometric embedding...
AbstractIn this paper, we will study the isometric extension problem for L1-spaces and prove that ev...
AbstractIn this paper we shall present a short proof on the extension problem of isometric embedding...
[[abstract]]This is a short survey on the extension of isometric mappings be- tween the unit spheres...
In this paper, we study the extension of isometries between the unit spheres of L∞ and a normed...
AbstractWe call a Banach space X admitting the Mazur–Ulam property (MUP) provided that for any Banac...
AbstractWe call a Banach space X admitting the Mazur–Ulam property (MUP) provided that for any Banac...
summary:In this note, we prove that any “bounded” isometries of separable metric spaces can be repre...
summary:In this note, we prove that any “bounded” isometries of separable metric spaces can be repre...
AbstractIn this paper, we characterize isometries between unit spheres of F-space. Furthermore, we s...
Natural Science Foundation of China [10771175, 11071201, 11001231]We call a Banach space X admitting...
We prove that if a one-to-one mapping f : (n ≥ 2) preserves the unit n - 1 spheres (Sn -1), then f i...
In this article, we prove that any surjective isometry between unit spheres of $\ell^{\infty}$-sum o...
In this article, we prove that any surjective isometry between unit spheres of $\ell^{\infty}$-sum o...
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