EUDML

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Some Remarks On The Fixed Point Stability For Nonexpansive Mappings

Marco Baronti — 1991

Publications de l'Institut Mathématique

A Note on Remotal Sets in Banach Spaces

Marco Baronti — 1993

Publications de l'Institut Mathématique

Extensions of linear operators from hyperplanes of $l_{\infty}^{(n)}$

Marco Baronti; Vito Fragnelli; Grzegorz Lewicki — 1995

Commentationes Mathematicae Universitatis Carolinae

Let $Y \subset l_{\infty}^{(n)}$ be a hyperplane and let $A \in ℒ (Y)$ be given. Denote $\begin{matrix} 𝒜 = & {L \in ℒ (l_{\infty}^{(n)}, Y) : L ∣ Y = A} and & λ_{A} = inf {∥ L ∥ : L \in 𝒜} . \end{matrix}$ In this paper the problem of calculating of the constant $λ_{A}$ is studied. We present a complete characterization of those $A \in ℒ (Y)$ for which $λ_{A} = ∥ A ∥$ . Next we consider the case $λ_{A} > ∥ A ∥$ . Finally some computer examples will be presented.