On Landau's type inequalities for infinitesimal generators
We consider Landau's type inequalities of the form \[\|A^k u\|^n\leq C_{n,k}\|u\|^{n-k}\|A^n u\|^k,\;\;\;u\in D(A^n),\;\;\;0
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| Veröffentlicht in: | Mathematical Communications 1996-12, Vol.1 (2), p.111 |
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| container_title | Mathematical Communications |
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| creator | Kraljević, H |
| description | We consider Landau's type inequalities of the form
\[\|A^k u\|^n\leq C_{n,k}\|u\|^{n-k}\|A^n u\|^k,\;\;\;u\in D(A^n),\;\;\;0 |
| format | Article |
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\[\|A^k u\|^n\leq C_{n,k}\|u\|^{n-k}\|A^n u\|^k,\;\;\;u\in D(A^n),\;\;\;0<k<n,\]
where A is the infinitesimal generator of either a strongly continuous
semigroup or a strongly continuous cosine function of linear contractions on a Banach space X.
The constants C_{n,k} are computed for n ≤ 6.</description><identifier>ISSN: 1331-0623</identifier><identifier>EISSN: 1848-8013</identifier><language>eng</language><publisher>Odjel za matematiku, Sveučilište J.J.Strossmayera u Osijeku</publisher><subject>infinitesimal generator ; Landau's type inequalities ; operator cosine function ; operator semigroup</subject><ispartof>Mathematical Communications, 1996-12, Vol.1 (2), p.111</ispartof><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>230,780,784,885</link.rule.ids></links><search><creatorcontrib>Kraljević, H</creatorcontrib><title>On Landau's type inequalities for infinitesimal generators</title><title>Mathematical Communications</title><description>We consider Landau's type inequalities of the form
\[\|A^k u\|^n\leq C_{n,k}\|u\|^{n-k}\|A^n u\|^k,\;\;\;u\in D(A^n),\;\;\;0<k<n,\]
where A is the infinitesimal generator of either a strongly continuous
semigroup or a strongly continuous cosine function of linear contractions on a Banach space X.
The constants C_{n,k} are computed for n ≤ 6.</description><subject>infinitesimal generator</subject><subject>Landau's type inequalities</subject><subject>operator cosine function</subject><subject>operator semigroup</subject><issn>1331-0623</issn><issn>1848-8013</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><recordid>eNqVirsKwjAUQIMoWB__kM1BCklTQnQVxUFwcQ-XeqvRmtbcdOjfG9AfcDqHwxmxTJrS5EZINU6ulMyFLtSUzYgeQmhZlDpj27PnJ_BX6FfE49Ahdx7fPTQuOiRetyGF2nkXkdwLGn5DjwFiG2jBJjU0hMsf52x92F92x_weKnjaLqQ_DLYFZ7-FQoVJrTTFRv13fwDxlkDY</recordid><startdate>19961222</startdate><enddate>19961222</enddate><creator>Kraljević, H</creator><general>Odjel za matematiku, Sveučilište J.J.Strossmayera u Osijeku</general><scope>VP8</scope></search><sort><creationdate>19961222</creationdate><title>On Landau's type inequalities for infinitesimal generators</title><author>Kraljević, H</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-hrcak_primary_oai_hrcak_srce_hr_18293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>infinitesimal generator</topic><topic>Landau's type inequalities</topic><topic>operator cosine function</topic><topic>operator semigroup</topic><toplevel>online_resources</toplevel><creatorcontrib>Kraljević, H</creatorcontrib><collection>Hrcak: Portal of scientific journals of Croatia</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kraljević, H</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>On Landau's type inequalities for infinitesimal generators</atitle><jtitle>Mathematical Communications</jtitle><date>1996-12-22</date><risdate>1996</risdate><volume>1</volume><issue>2</issue><spage>111</spage><pages>111-</pages><issn>1331-0623</issn><eissn>1848-8013</eissn><abstract>We consider Landau's type inequalities of the form
\[\|A^k u\|^n\leq C_{n,k}\|u\|^{n-k}\|A^n u\|^k,\;\;\;u\in D(A^n),\;\;\;0<k<n,\]
where A is the infinitesimal generator of either a strongly continuous
semigroup or a strongly continuous cosine function of linear contractions on a Banach space X.
The constants C_{n,k} are computed for n ≤ 6.</abstract><pub>Odjel za matematiku, Sveučilište J.J.Strossmayera u Osijeku</pub><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1331-0623 |
| ispartof | Mathematical Communications, 1996-12, Vol.1 (2), p.111 |
| issn | 1331-0623 1848-8013 |
| language | eng |
| recordid | cdi_hrcak_primary_oai_hrcak_srce_hr_1829 |
| source | DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | infinitesimal generator Landau's type inequalities operator cosine function operator semigroup |
| title | On Landau's type inequalities for infinitesimal generators |
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