Titlebook: Lipschitz Functions; Ştefan Cobzaş,Radu Miculescu,Adriana Nicolae Book 2019 Springer Nature Switzerland AG 2019 Banach Spaces of Lipschitz

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Extension Results for Lipschitz Mappings,Banach and Tietze extension theorems. A discussion on the corresponding property for semi-Lipschitz functions defined on quasi-metric spaces and for Lipschitz functions with values in a quasi-normed space is included as well.

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Lipschitz Isomorphisms of Metric Spaces,e .. and a result of Väisälä (Theorem 7.4.6) on the characterization of the completeness of a normed space . by the non-existence of bi-Lipschitz surjections of . onto . ∖{0}. Other results are discussed in the final section of this chapter.

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https://doi.org/10.1007/978-3-030-16489-8Banach Spaces of Lipschitz Functions; Bishop-Phelps Property; Compact Operators; Composition Operators;

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Banach Spaces of Lipschitz Functions,unctions that attain their norms. Finally, applications to best approximation in metric spaces and in metric linear spaces . are given in the last section (Sect. 8.9) of this chapter, showing how results from the linear theory can be transposed to this situation, by using as a dual space the space o