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Contractive projections and isometries in sequence spaces

Beata Randrianantoanina
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Abstract

We characterize 1-complemented subspaces of finite codimension in strictly monotone one-$p$-convex, $2<p<\infty,$ sequence spaces. Next we describe, up to isometric isomorphism, all possible types of 1-unconditional structures in sequence spaces with few surjective isometries. We also give a new example of a class of real sequence spaces with few surjective isometries.

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Beata Randrianantoanina. 1994-03-04. Contractive projections and isometries in sequence spaces. https://arxiv.org/abs/math/9403207

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