{"id":"https://openalex.org/W7160867779","doi":"https://doi.org/10.48550/arxiv.2605.07564","title":"Schur bounded patterns, submajorisation and operator Lipschitz functions","display_name":"Schur bounded patterns, submajorisation and operator Lipschitz functions","publication_year":2026,"publication_date":"2026-05-08","ids":{"openalex":"https://openalex.org/W7160867779","doi":"https://doi.org/10.48550/arxiv.2605.07564"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2605.07564","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.07564","pdf_url":"https://arxiv.org/pdf/2605.07564","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2605.07564","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135865528","display_name":"Edward McDonald","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"McDonald, Edward","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037022930","display_name":"Fedor Anatol'evich Sukochev","orcid":"https://orcid.org/0000-0002-6063-3163","observed_orcids":["https://orcid.org/0000-0002-6063-3163"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sukochev, Fedor","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5112941055","display_name":"Dmitriy Vladimirovich Zanin","orcid":"https://orcid.org/0000-0003-2840-3058","observed_orcids":["https://orcid.org/0000-0003-2840-3058"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zanin, Dmitriy","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.7153000235557556,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.7153000235557556,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.1160999983549118,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.06440000236034393,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/compact-operators","display_name":"compact operators","score":0.8399999737739563},{"id":"https://openalex.org/keywords/operator-ideals","display_name":"operator ideals","score":0.652999997138977}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7540000081062317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6697999835014343},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4415999948978424},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.43860000371932983},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3790999948978424},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.32179999351501465},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32089999318122864},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31850001215934753},{"id":"https://openalex.org/C99383703","wikidata":"https://www.wikidata.org/wiki/Q1064218","display_name":"Schur decomposition","level":4,"score":0.2685000002384186},{"id":"https://openalex.org/C92928283","wikidata":"https://www.wikidata.org/wiki/Q4949981","display_name":"Bounded deformation","level":4,"score":0.26499998569488525},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C182964748","wikidata":"https://www.wikidata.org/wiki/Q208216","display_name":"Triangle inequality","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.2565000057220459}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2605.07564","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.07564","pdf_url":"https://arxiv.org/pdf/2605.07564","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2605.07564","doi":"https://doi.org/10.48550/arxiv.2605.07564","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.07564","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2605.07564","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.07564","pdf_url":"https://arxiv.org/pdf/2605.07564","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7160867779.pdf","grobid_xml":"https://content.openalex.org/works/W7160867779.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1488161544","https://openalex.org/W7204106708","https://openalex.org/W2803792279","https://openalex.org/W2782788788","https://openalex.org/W4236835127","https://openalex.org/W2979433343","https://openalex.org/W7099436769","https://openalex.org/W412002594","https://openalex.org/W1835439621","https://openalex.org/W2964198745"],"abstract_inverted_index":{"A":[0],"Schur":[1,11,32],"bounded":[2,15,24,33,61,66],"pattern":[3],"is":[4,65],"a":[5,23],"subset":[6],"$S\\subset":[7],"\\mathbb{N}^2$":[8],"such":[9,55],"that":[10,56,72],"multiplication":[12,58],"by":[13,37,59],"every":[14,60],"function":[16,62],"on":[17,20,63],"$\\mathbb{N}^2$":[18],"supported":[19],"$S$":[21,54,64],"defines":[22],"linear":[25],"operator":[26],"in":[27,67,78],"the":[28,49,80],"norm":[29],"of":[30,42,69],"$\\mathcal{B}(\\ell_2(\\mathbb{N})).$":[31],"patterns":[34],"were":[35],"characterised":[36],"Davidson-Donsig":[38],"as":[39],"being":[40],"unions":[41],"row-bounded":[43],"and":[44],"column-bounded":[45],"sets.":[46],"We":[47],"study":[48],"analogous":[50],"question":[51],"for":[52],"sets":[53],"element-wise":[57],"ideals":[68,82],"compact":[70],"operators":[71],"are":[73],"not":[74],"closed":[75],"under":[76],"submajorisation,":[77],"particular":[79],"Schatten":[81],"$\\mathcal{L}_p$":[83],"with":[84],"$0":[85]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-05-12T00:00:00"}
