Revisiting Operator $p$-Compact Mappings
We continue our study of the mapping ideal of operator $p$-compact maps, previously introduced by the authors. Our approach embraces a more geometric perspective, delving into the interplay between operator $p$-compact mappings and matrix sets, specifically we provide a quantitative notion of operat...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Chávez-Domínguez, Javier Alejandro Dimant, Verónica Galicer, Daniel |
| description | We continue our study of the mapping ideal of operator $p$-compact maps,
previously introduced by the authors. Our approach embraces a more geometric
perspective, delving into the interplay between operator $p$-compact mappings
and matrix sets, specifically we provide a quantitative notion of operator
$p$-compactness for the latter. In particular, we consider operator
$p$-compactness in the bidual and its relation with this property in the
original space. Also, we deepen our understanding of the connections between
these mapping ideals and other significant ones (e.g., completely $p$-summing,
completely $p$-nuclear). |
| doi_str_mv | 10.48550/arxiv.2405.18571 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2405_18571</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2405_18571</sourcerecordid><originalsourceid>FETCH-LOGICAL-a671-a7bbd20d6ddd50c5e93748508d721c9d7a40c18b443198ba9588e95a540dd84a3</originalsourceid><addsrcrecordid>eNotzjsLwjAUBeAsDqL-ACc7OLi0Jm2uSUYpvqAiiHu57Y0S8BHSIvrvfU5nOHDOx9hQ8ERqAD7F8HD3JJUcEqFBiS6b7O3dNa5111O08zZgewvR2I_j_HbxWLfRFr1_l02fdY54buzgnz12WC4O-ToudqtNPi9inCkRo6oqSjnNiAh4DdZk6n3NNalU1IYUSl4LXUmZCaMrNKC1NYAgOZGWmPXY6Df7pZY-uAuGZ_khl19y9gKfszpF</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Revisiting Operator $p$-Compact Mappings</title><source>arXiv.org</source><creator>Chávez-Domínguez, Javier Alejandro ; Dimant, Verónica ; Galicer, Daniel</creator><creatorcontrib>Chávez-Domínguez, Javier Alejandro ; Dimant, Verónica ; Galicer, Daniel</creatorcontrib><description>We continue our study of the mapping ideal of operator $p$-compact maps,
previously introduced by the authors. Our approach embraces a more geometric
perspective, delving into the interplay between operator $p$-compact mappings
and matrix sets, specifically we provide a quantitative notion of operator
$p$-compactness for the latter. In particular, we consider operator
$p$-compactness in the bidual and its relation with this property in the
original space. Also, we deepen our understanding of the connections between
these mapping ideals and other significant ones (e.g., completely $p$-summing,
completely $p$-nuclear).</description><identifier>DOI: 10.48550/arxiv.2405.18571</identifier><language>eng</language><subject>Mathematics - Functional Analysis ; Mathematics - Operator Algebras</subject><creationdate>2024-05</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,778,883</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2405.18571$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2405.18571$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Chávez-Domínguez, Javier Alejandro</creatorcontrib><creatorcontrib>Dimant, Verónica</creatorcontrib><creatorcontrib>Galicer, Daniel</creatorcontrib><title>Revisiting Operator $p$-Compact Mappings</title><description>We continue our study of the mapping ideal of operator $p$-compact maps,
previously introduced by the authors. Our approach embraces a more geometric
perspective, delving into the interplay between operator $p$-compact mappings
and matrix sets, specifically we provide a quantitative notion of operator
$p$-compactness for the latter. In particular, we consider operator
$p$-compactness in the bidual and its relation with this property in the
original space. Also, we deepen our understanding of the connections between
these mapping ideals and other significant ones (e.g., completely $p$-summing,
completely $p$-nuclear).</description><subject>Mathematics - Functional Analysis</subject><subject>Mathematics - Operator Algebras</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzjsLwjAUBeAsDqL-ACc7OLi0Jm2uSUYpvqAiiHu57Y0S8BHSIvrvfU5nOHDOx9hQ8ERqAD7F8HD3JJUcEqFBiS6b7O3dNa5111O08zZgewvR2I_j_HbxWLfRFr1_l02fdY54buzgnz12WC4O-ToudqtNPi9inCkRo6oqSjnNiAh4DdZk6n3NNalU1IYUSl4LXUmZCaMrNKC1NYAgOZGWmPXY6Df7pZY-uAuGZ_khl19y9gKfszpF</recordid><startdate>20240528</startdate><enddate>20240528</enddate><creator>Chávez-Domínguez, Javier Alejandro</creator><creator>Dimant, Verónica</creator><creator>Galicer, Daniel</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240528</creationdate><title>Revisiting Operator $p$-Compact Mappings</title><author>Chávez-Domínguez, Javier Alejandro ; Dimant, Verónica ; Galicer, Daniel</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-a7bbd20d6ddd50c5e93748508d721c9d7a40c18b443198ba9588e95a540dd84a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Functional Analysis</topic><topic>Mathematics - Operator Algebras</topic><toplevel>online_resources</toplevel><creatorcontrib>Chávez-Domínguez, Javier Alejandro</creatorcontrib><creatorcontrib>Dimant, Verónica</creatorcontrib><creatorcontrib>Galicer, Daniel</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Chávez-Domínguez, Javier Alejandro</au><au>Dimant, Verónica</au><au>Galicer, Daniel</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Revisiting Operator $p$-Compact Mappings</atitle><date>2024-05-28</date><risdate>2024</risdate><abstract>We continue our study of the mapping ideal of operator $p$-compact maps,
previously introduced by the authors. Our approach embraces a more geometric
perspective, delving into the interplay between operator $p$-compact mappings
and matrix sets, specifically we provide a quantitative notion of operator
$p$-compactness for the latter. In particular, we consider operator
$p$-compactness in the bidual and its relation with this property in the
original space. Also, we deepen our understanding of the connections between
these mapping ideals and other significant ones (e.g., completely $p$-summing,
completely $p$-nuclear).</abstract><doi>10.48550/arxiv.2405.18571</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2405.18571 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2405_18571 |
| source | arXiv.org |
| subjects | Mathematics - Functional Analysis Mathematics - Operator Algebras |
| title | Revisiting Operator $p$-Compact Mappings |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-16T18%3A27%3A14IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Revisiting%20Operator%20$p$-Compact%20Mappings&rft.au=Ch%C3%A1vez-Dom%C3%ADnguez,%20Javier%20Alejandro&rft.date=2024-05-28&rft_id=info:doi/10.48550/arxiv.2405.18571&rft_dat=%3Carxiv_GOX%3E2405_18571%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |