Access the full text.
Sign up today, get DeepDyve free for 14 days.
SH Kulkarni, BV Limaye (1994)
Extreme points of the unit ball in the dual spaces of some real subspaces of $$C(X)$$ C ( X )Glasnik Matematički, 29
A Ranjbar-Motlagh (2014)
A note on isometries of Lipschitz spacesJMAA, 411
F Botelho, R Fleming, J Jamison (2011)
Extreme points and isometries on vector valued Lipschitz spacesJMAA, 381
Positivity (2016) 20:757–759 DOI 10.1007/s11117-016-0436-y Positivity ERRATUM Erratum to: Surjective isometries on spaces of vector valued continuous and Lipschitz functions Fernanda Botelho Published online: 4 August 2016 © Springer International Publishing 2016 Erratum to: Positivity (2013) 17:395–405 DOI 10.1007/s11117-012-0175-7 In the original article, the authors claimed incorrectly that the set of extreme points of the unit ball of a subspace A of C (X, F ) (X a compact Hausdorff space and F a ∗ ∗ Banach space) containing the constant functions is equal to {v ◦ δ : A → C,v ∈ ∗ ∗ ext (F ), x ∈ X }, ext (F ) denoting the set of extreme points of the unit ball of the 1 1 dual space F . We obtain the same conclusion but under some constrains on the range space and on A. More precisely, we assume that the range space is a reflexive Banach space with strictly convex dual and A separates X in the sense of Definition 3.1 in the original article. Strict convexity of the dual implies that F is smooth and then for ∗ ∗ ∗ every unit vector u ∈ F there exits a unique functional u ∈
Positivity – Springer Journals
Published: Aug 4, 2016
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.