Berninger, H. and Werner, Dirk (2003) Lipschitz spaces and Mideals. Extracta Mathematicae, 18 (1). pp. 3356. ISSN 02138743

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Abstract
For a metric space (K,d) the Banach space Lip(K) consists of all scalarvalued 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 lipcondition lim_{0 < d(x,y) > 0} f(x)f(y)/d(x,y) = 0. For K=([0,1], .^{alpha}), 0 < alpha < 1, we prove that lip(K) is a proper Mideal in a certain subspace of Lip(K) containing a copy of l^{\infty}.
Item Type:  Article 

Subjects:  Mathematical and Computer Sciences > Mathematics > Numerical Analysis 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  1833 
Deposited By:  Ekaterina Engel 
Deposited On:  06 Mar 2016 12:33 
Last Modified:  03 Mar 2017 14:42 
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