The Lipschitz algebras Lp(M), for M a complete metric space, are quite analogous to the spaces C() and L(X), for a compact Hausdorff space and X a -finite measure space. Although the Lipschitz algebras have not been studied as thoroughly as these better-known cousins, it is becoming increasingly cl
Lipschitz Algebras || FRONT MATTER
โ Scribed by Weaver, Nik
- Book ID
- 123615657
- Publisher
- WORLD SCIENTIFIC
- Year
- 1999
- Weight
- 342 KB
- Volume
- 10.1142/4100
- Category
- Article
- ISBN
- 9812815252
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๐ SIMILAR VOLUMES
The algebraic properties of Lipschitz spaces have received much attention. This has led to a good understanding of such things as complex homomorphisms and ideals (but not subalgebras) when the underlying metric space is compact. Taking a cue from the recent observation that Lipschitz spaces are ord
For a compact metric space \((K, d), \alpha \in(0,1]\) and \(f \in C(K)\), let \(p_{x}(f)=\) \(\sup \left\{|f(t)-f(s)| d(t, s)^{x}: t, s \in K\right\}\). The set \(\operatorname{Lip}_{x}(K, d)=\left\{f \in C(K): p_{x}(f)<\infty\right\}\) with the norm \(\|f\|_{x}=|f|_{\kappa}+p_{x}(f)\) is a Banach
For an infinite compact metric space (X, d), : # (0, 1) and f # C(X), let p Both Lip : (X, d ) and lip : (X, d ) are called Lipschitz algebras. We solve the problem of existence of homomorphisms and derivations from lip : (X, d ) which are discontinuous on every dense subalgebra. In order to achiev