{"title":"q 循环系统的强哈格鲁普不等式","authors":"Todd Kemp, Akihiro Miyagawa","doi":"arxiv-2409.03177","DOIUrl":null,"url":null,"abstract":"The first author and Speicher proved the inequality for operator norms of\nholomorphic homogeneous polynomials in freely independent\n$\\mathscr{R}$-diagonal elements, which improves the bound obtained by Haagerup.\nWe prove a similar inequality for $q$-circular systems, which are neither\nfreely independent nor $\\mathscr{R}$-diagonal.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The strong Haagerup inequality for q-circular systems\",\"authors\":\"Todd Kemp, Akihiro Miyagawa\",\"doi\":\"arxiv-2409.03177\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The first author and Speicher proved the inequality for operator norms of\\nholomorphic homogeneous polynomials in freely independent\\n$\\\\mathscr{R}$-diagonal elements, which improves the bound obtained by Haagerup.\\nWe prove a similar inequality for $q$-circular systems, which are neither\\nfreely independent nor $\\\\mathscr{R}$-diagonal.\",\"PeriodicalId\":501317,\"journal\":{\"name\":\"arXiv - MATH - Quantum Algebra\",\"volume\":\"11 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Quantum Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.03177\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Quantum Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.03177","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The strong Haagerup inequality for q-circular systems
The first author and Speicher proved the inequality for operator norms of
holomorphic homogeneous polynomials in freely independent
$\mathscr{R}$-diagonal elements, which improves the bound obtained by Haagerup.
We prove a similar inequality for $q$-circular systems, which are neither
freely independent nor $\mathscr{R}$-diagonal.
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