Endomorphisms of Pointwise Lipschitz Algebras
© 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. Let (X, d) be a compact metric space. Then, the normed algebra of pointwise Lipschitz functions on X is denoted by Lip pw(X, d). We study and characterize the completeness of these algebras and obtain a necessary...
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th-cmuir.6653943832-707272020-10-14T08:40:05Z Endomorphisms of Pointwise Lipschitz Algebras Tanadon Chaobankoh Mathematics © 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. Let (X, d) be a compact metric space. Then, the normed algebra of pointwise Lipschitz functions on X is denoted by Lip pw(X, d). We study and characterize the completeness of these algebras and obtain a necessary and sufficient condition for such an algebra to be complete. We then investigate the endomorphisms of Lip pw(X, d) by considering their associated self-maps. A necessary and sufficient condition is given for these operators to be compact. Moreover, we discuss relations between Lip pw(X, d) and other normed function algebras. 2020-10-14T08:40:05Z 2020-10-14T08:40:05Z 2020-01-01 Journal 21804206 01266705 2-s2.0-85086710874 10.1007/s40840-020-00963-2 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85086710874&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70727 |
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Chiang Mai University |
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Chiang Mai University Library |
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Asia |
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Thailand Thailand |
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Mathematics |
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Mathematics Tanadon Chaobankoh Endomorphisms of Pointwise Lipschitz Algebras |
| description |
© 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. Let (X, d) be a compact metric space. Then, the normed algebra of pointwise Lipschitz functions on X is denoted by Lip pw(X, d). We study and characterize the completeness of these algebras and obtain a necessary and sufficient condition for such an algebra to be complete. We then investigate the endomorphisms of Lip pw(X, d) by considering their associated self-maps. A necessary and sufficient condition is given for these operators to be compact. Moreover, we discuss relations between Lip pw(X, d) and other normed function algebras. |
| format |
Journal |
| author |
Tanadon Chaobankoh |
| author_facet |
Tanadon Chaobankoh |
| author_sort |
Tanadon Chaobankoh |
| title |
Endomorphisms of Pointwise Lipschitz Algebras |
| title_short |
Endomorphisms of Pointwise Lipschitz Algebras |
| title_full |
Endomorphisms of Pointwise Lipschitz Algebras |
| title_fullStr |
Endomorphisms of Pointwise Lipschitz Algebras |
| title_full_unstemmed |
Endomorphisms of Pointwise Lipschitz Algebras |
| title_sort |
endomorphisms of pointwise lipschitz algebras |
| publishDate |
2020 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85086710874&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70727 |
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