Isometric Composition Operators on Lipschitz Spaces
Given pointed metric spaces X and Y , we characterize the basepoint-preserving Lipschitz maps ϕ from Y to X inducing an isometric composition operator C ϕ between the Lipschitz spaces Lip 0 ( X ) and Lip 0 ( Y ) , whenever X enjoys the peak property. This gives an answer to a question posed by Weave...
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| Veröffentlicht in: | Mediterranean journal of mathematics 2020-04, Vol.17 (2), Article 52 |
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| container_title | Mediterranean journal of mathematics |
| container_volume | 17 |
| creator | Jiménez-Vargas, A. |
| description | Given pointed metric spaces
X
and
Y
, we characterize the basepoint-preserving Lipschitz maps
ϕ
from
Y
to
X
inducing an isometric composition operator
C
ϕ
between the Lipschitz spaces
Lip
0
(
X
)
and
Lip
0
(
Y
)
, whenever
X
enjoys the peak property. This gives an answer to a question posed by Weaver in his book [Lipschitz algebras. Second edition. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2018]. |
| doi_str_mv | 10.1007/s00009-020-1488-6 |
| format | Article |
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X
and
Y
, we characterize the basepoint-preserving Lipschitz maps
ϕ
from
Y
to
X
inducing an isometric composition operator
C
ϕ
between the Lipschitz spaces
Lip
0
(
X
)
and
Lip
0
(
Y
)
, whenever
X
enjoys the peak property. This gives an answer to a question posed by Weaver in his book [Lipschitz algebras. Second edition. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2018].</description><identifier>ISSN: 1660-5446</identifier><identifier>EISSN: 1660-5454</identifier><identifier>DOI: 10.1007/s00009-020-1488-6</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Composition ; Mathematics ; Mathematics and Statistics ; Metric space</subject><ispartof>Mediterranean journal of mathematics, 2020-04, Vol.17 (2), Article 52</ispartof><rights>Springer Nature Switzerland AG 2020</rights><rights>Springer Nature Switzerland AG 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-5556ca98dc209a0f9596d73a500b7cd9fde389921686be13014cf813749deb653</citedby><cites>FETCH-LOGICAL-c316t-5556ca98dc209a0f9596d73a500b7cd9fde389921686be13014cf813749deb653</cites><orcidid>0000-0002-0572-1697</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00009-020-1488-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00009-020-1488-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Jiménez-Vargas, A.</creatorcontrib><title>Isometric Composition Operators on Lipschitz Spaces</title><title>Mediterranean journal of mathematics</title><addtitle>Mediterr. J. Math</addtitle><description>Given pointed metric spaces
X
and
Y
, we characterize the basepoint-preserving Lipschitz maps
ϕ
from
Y
to
X
inducing an isometric composition operator
C
ϕ
between the Lipschitz spaces
Lip
0
(
X
)
and
Lip
0
(
Y
)
, whenever
X
enjoys the peak property. This gives an answer to a question posed by Weaver in his book [Lipschitz algebras. Second edition. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2018].</description><subject>Composition</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Metric space</subject><issn>1660-5446</issn><issn>1660-5454</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp1kEtLxDAQx4MouK5-AG8Fz9HJs81Rio-FhT2o55CmqXaxTc10D_rpbanoybnMDPwf8CPkksE1A8hvEKYxFDhQJouC6iOyYloDVVLJ499b6lNyhrgH4IYJviJig7ELY2p9VsZuiNiObeyz3RCSG2PCbHq27YD-rR2_sqfB-YDn5KRx7xgufvaavNzfPZePdLt72JS3W-oF0yNVSmnvTFF7DsZBY5TRdS6cAqhyX5umDqIwhjNd6CowAUz6pmAil6YOlVZiTa6W3CHFj0PA0e7jIfVTpeVCGZkryfWkYovKp4iYQmOH1HYufVoGdmZjFzZ2YmNnNnb28MWDk7Z_Dekv-X_TN0Y8ZUw</recordid><startdate>20200401</startdate><enddate>20200401</enddate><creator>Jiménez-Vargas, A.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-0572-1697</orcidid></search><sort><creationdate>20200401</creationdate><title>Isometric Composition Operators on Lipschitz Spaces</title><author>Jiménez-Vargas, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-5556ca98dc209a0f9596d73a500b7cd9fde389921686be13014cf813749deb653</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Composition</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Metric space</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jiménez-Vargas, A.</creatorcontrib><collection>CrossRef</collection><jtitle>Mediterranean journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jiménez-Vargas, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Isometric Composition Operators on Lipschitz Spaces</atitle><jtitle>Mediterranean journal of mathematics</jtitle><stitle>Mediterr. J. Math</stitle><date>2020-04-01</date><risdate>2020</risdate><volume>17</volume><issue>2</issue><artnum>52</artnum><issn>1660-5446</issn><eissn>1660-5454</eissn><abstract>Given pointed metric spaces
X
and
Y
, we characterize the basepoint-preserving Lipschitz maps
ϕ
from
Y
to
X
inducing an isometric composition operator
C
ϕ
between the Lipschitz spaces
Lip
0
(
X
)
and
Lip
0
(
Y
)
, whenever
X
enjoys the peak property. This gives an answer to a question posed by Weaver in his book [Lipschitz algebras. Second edition. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2018].</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00009-020-1488-6</doi><orcidid>https://orcid.org/0000-0002-0572-1697</orcidid></addata></record> |
| fulltext | fulltext |
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| ispartof | Mediterranean journal of mathematics, 2020-04, Vol.17 (2), Article 52 |
| issn | 1660-5446 1660-5454 |
| language | eng |
| recordid | cdi_proquest_journals_2359475426 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Composition Mathematics Mathematics and Statistics Metric space |
| title | Isometric Composition Operators on Lipschitz Spaces |
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