Projections and averages of isometries on Lipschitz spaces
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2011-08-25Abstract
We characterize projections on spaces of Lipschitz functions expressed as the average of two and three linear surjective isometries. Generalized bi-circular projections are the only projections on these spaces given as the convex combination of two surjective isometries.
Palabra/s clave
Isometry
Convex combination of isometries
Generalized bi-circular projection
Spaces of Lipschitz functions