Lipschitz spaces and M-ideals

Details Lipschitz spaces and M-ideals Lipschitz spaces and M-ideals

2002-01-16

arxiv.org/abs/math/0201144v1

Extracta Math. 18, no.1, 33-56 (2003)

Mathematics

Functional Analysis

Includes 4 figures

Scientific paper

For a metric space $(K,d)$ the Banach space $\Lip(K)$ consists of all scalar-valued bounded Lipschitz functions on $K$ with the norm $\|f\|_{L}=\max(\|f\|_{\infty},L(f))$, where $L(f)$ is the Lipschitz constant of $f$. The closed subspace $\lip(K)$ of $\Lip(K)$ contains all elements of $\Lip(K)$ satisfying the $\lip$-condition $\lim_{0

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