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Banach spaces which embed into their dual

Valerio Capraro, Stefano Rossi (2011)

Colloquium Mathematicae

We use Birkhoff-James' orthogonality in Banach spaces to provide new conditions for the converse of the classical Riesz representation theorem.

Bootstrapping Kirszbraun's extension theorem

Eva Kopecká (2012)

Fundamenta Mathematicae

We show how Kirszbraun's theorem on extending Lipschitz mappings in Hilbert space implies its own generalization. There is a continuous extension operator preserving the Lipschitz constant of every mapping.

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