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Lipschitz Algebras || FRONT MATTER

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


Lipschitz algebras
โœ Nik Weaver ๐Ÿ“‚ Library ๐Ÿ“… 1999 ๐Ÿ› World Scientific ๐ŸŒ English โš– 2 MB

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

Approximation in Lipschitz algebras
โœ Honary, T.G.; Mahyar, H. ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Taylor and Francis Group ๐ŸŒ English โš– 157 KB
Order Completeness in Lipschitz Algebras
โœ N. Weaver ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 530 KB

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

Automatic Continuity of Lipschitz Algebr
โœ B. Pavlovic ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 980 KB

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

Discontinuous Maps from Lipschitz Algebr
โœ Branka Pavlovic ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 340 KB

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