Refinements of Inequalities Related to Landau–Grüss Inequalities for Elementary Operators Acting on Ideals Associated to p-Modified Unitarily Invariant Norms
In this paper we find the explicit form for the equalizing term in the inequality related to Landau–Grüss inequality for elementary operators, which enabled us to refine inequalities related to operator Landau–Grüss norm inequalities for p -modifications of initarily invariant norms. Specially, for...
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| Veröffentlicht in: | Complex analysis and operator theory 2018, Vol.12 (1), p.195-205 |
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| container_title | Complex analysis and operator theory |
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| creator | Jocić, Danko R. Krtinić, Đorđe Lazarević, Milan Melentijević, Petar Milošević, Stefan |
| description | In this paper we find the explicit form for the equalizing term in the inequality related to Landau–Grüss inequality for elementary operators, which enabled us to refine inequalities related to operator Landau–Grüss norm inequalities for
p
-modifications of initarily invariant norms. Specially, for Schatten
p
-norms with
p
≥
2
those inequalities have additionally simplified form, which enables, among others, to analyze equality cases in considered operator inequalities. A broader family of mixed norms inequalities related to the operator Landau–Grüss inequality is also presented. |
| doi_str_mv | 10.1007/s11785-016-0622-8 |
| format | Article |
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p
-modifications of initarily invariant norms. Specially, for Schatten
p
-norms with
p
≥
2
those inequalities have additionally simplified form, which enables, among others, to analyze equality cases in considered operator inequalities. A broader family of mixed norms inequalities related to the operator Landau–Grüss inequality is also presented.</description><identifier>ISSN: 1661-8254</identifier><identifier>EISSN: 1661-8262</identifier><identifier>DOI: 10.1007/s11785-016-0622-8</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Inequalities ; Inequality ; Invariants ; Mathematics ; Mathematics and Statistics ; Norms ; Operator Theory ; Operators</subject><ispartof>Complex analysis and operator theory, 2018, Vol.12 (1), p.195-205</ispartof><rights>Springer International Publishing 2016</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-24119d2a38b92c5dc0b99d970373d13906a50ee8d5539afb67e5b29566c72f843</citedby><cites>FETCH-LOGICAL-c316t-24119d2a38b92c5dc0b99d970373d13906a50ee8d5539afb67e5b29566c72f843</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11785-016-0622-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11785-016-0622-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>315,781,785,27929,27930,41493,42562,51324</link.rule.ids></links><search><creatorcontrib>Jocić, Danko R.</creatorcontrib><creatorcontrib>Krtinić, Đorđe</creatorcontrib><creatorcontrib>Lazarević, Milan</creatorcontrib><creatorcontrib>Melentijević, Petar</creatorcontrib><creatorcontrib>Milošević, Stefan</creatorcontrib><title>Refinements of Inequalities Related to Landau–Grüss Inequalities for Elementary Operators Acting on Ideals Associated to p-Modified Unitarily Invariant Norms</title><title>Complex analysis and operator theory</title><addtitle>Complex Anal. Oper. Theory</addtitle><description>In this paper we find the explicit form for the equalizing term in the inequality related to Landau–Grüss inequality for elementary operators, which enabled us to refine inequalities related to operator Landau–Grüss norm inequalities for
p
-modifications of initarily invariant norms. Specially, for Schatten
p
-norms with
p
≥
2
those inequalities have additionally simplified form, which enables, among others, to analyze equality cases in considered operator inequalities. A broader family of mixed norms inequalities related to the operator Landau–Grüss inequality is also presented.</description><subject>Analysis</subject><subject>Inequalities</subject><subject>Inequality</subject><subject>Invariants</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Norms</subject><subject>Operator Theory</subject><subject>Operators</subject><issn>1661-8254</issn><issn>1661-8262</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kU1KAzEYhgdRsFYP4C7gejTJNH_LIv4UqgWx65BOMiVlmrRJKrjzDl7Ag7jzJp7E1FHRhat8Ce_zfIS3KI4RPEUQsrOIEOOkhIiWkGJc8p2ihyhFJccU7_7MZLBfHMS4gJBCJkSveLkzjXVmaVyKwDdg5Mx6o1qbrIngzrQqGQ2SB2PltNq8Pz1fhbfXGP_mGh_ARfspUeERTFYmqORDBMM6WTcH3oGRNqrNDzH62n5LV-WN17ax-TZ1NrO2fczmhzwol8CtD8t4WOw1mTRHX2e_mF5e3J9fl-PJ1eh8OC7rCtFU4gFCQmNV8ZnANdE1nAmhBYMVqzSqBKSKQGO4JqQSqplRZsgMC0JpzXDDB1W_OOm8q-DXGxOTXPhNcHmlRIJXnDNGYE6hLlUHH2MwjVwFu8yflgjKbRGyK0LmIuS2CMkzgzsm5qybm_DL_C_0AbPCj1g</recordid><startdate>2018</startdate><enddate>2018</enddate><creator>Jocić, Danko R.</creator><creator>Krtinić, Đorđe</creator><creator>Lazarević, Milan</creator><creator>Melentijević, Petar</creator><creator>Milošević, Stefan</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2018</creationdate><title>Refinements of Inequalities Related to Landau–Grüss Inequalities for Elementary Operators Acting on Ideals Associated to p-Modified Unitarily Invariant Norms</title><author>Jocić, Danko R. ; Krtinić, Đorđe ; Lazarević, Milan ; Melentijević, Petar ; Milošević, Stefan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-24119d2a38b92c5dc0b99d970373d13906a50ee8d5539afb67e5b29566c72f843</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Analysis</topic><topic>Inequalities</topic><topic>Inequality</topic><topic>Invariants</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Norms</topic><topic>Operator Theory</topic><topic>Operators</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jocić, Danko R.</creatorcontrib><creatorcontrib>Krtinić, Đorđe</creatorcontrib><creatorcontrib>Lazarević, Milan</creatorcontrib><creatorcontrib>Melentijević, Petar</creatorcontrib><creatorcontrib>Milošević, Stefan</creatorcontrib><collection>CrossRef</collection><jtitle>Complex analysis and operator theory</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jocić, Danko R.</au><au>Krtinić, Đorđe</au><au>Lazarević, Milan</au><au>Melentijević, Petar</au><au>Milošević, Stefan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Refinements of Inequalities Related to Landau–Grüss Inequalities for Elementary Operators Acting on Ideals Associated to p-Modified Unitarily Invariant Norms</atitle><jtitle>Complex analysis and operator theory</jtitle><stitle>Complex Anal. Oper. Theory</stitle><date>2018</date><risdate>2018</risdate><volume>12</volume><issue>1</issue><spage>195</spage><epage>205</epage><pages>195-205</pages><issn>1661-8254</issn><eissn>1661-8262</eissn><abstract>In this paper we find the explicit form for the equalizing term in the inequality related to Landau–Grüss inequality for elementary operators, which enabled us to refine inequalities related to operator Landau–Grüss norm inequalities for
p
-modifications of initarily invariant norms. Specially, for Schatten
p
-norms with
p
≥
2
those inequalities have additionally simplified form, which enables, among others, to analyze equality cases in considered operator inequalities. A broader family of mixed norms inequalities related to the operator Landau–Grüss inequality is also presented.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s11785-016-0622-8</doi><tpages>11</tpages></addata></record> |
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| subjects | Analysis Inequalities Inequality Invariants Mathematics Mathematics and Statistics Norms Operator Theory Operators |
| title | Refinements of Inequalities Related to Landau–Grüss Inequalities for Elementary Operators Acting on Ideals Associated to p-Modified Unitarily Invariant Norms |
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