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Analiza. Del 3, Riccatijeva enačba v algebrah z involucijoDobovišek, MirkoNaloga obravnava stabilizabilnost in popolno stabilizabilnost para elementov ▫$C^*$▫-algebre ter obstoj sebiadjungiranih rešitev algebrajske Riccatijeve enačbe ▫$-xcc^*x+b^*x+xb+a=0$▫ in ... klasifikacijo njenih rešitev. Dokazano je, da je par elementov ▫$C^*$▫-algebre stabilizabilen v ▫$B(H)$▫ natanko tedaj, ko je stabilizabilen v ▫$C^*$▫-algebri v kateri so koeficienti. Za popolno stabilizabilnost so poiskani štirje ekvivalentni pogoji. Dokazanih je več izrekov o eksistenci sebi adjungiranih rešitev tako v ▫$C^*$▫-algebri kot v lokalno ▫$C^*$▫-algebri. Dokazano je tudi, da je v primeru ▫$C^*$▫-algebre in v primeru lokalno C*-algebre množica rešitev v bijektivni korespondenci s točno določenimi idempotenti. S tem je posplošen izrek J.C.Willemsa in W.A.Coppela z algeber matrik na lokalno ▫$C^*$▫-algebre.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1991Language - english, slovenianCOBISS.SI-ID - 8632921
Author
Dobovišek, Mirko
Other authors
Kramar, Edvard
Topics
matematika |
funkcionalna analiza |
teorija operatorjev |
algebre z involucijo |
▫$C^\ast$▫-algebre |
lokalno ▫$C^\ast$▫-algebre |
Hilbertovi prostori |
Riccatijeva algebrajska enačba |
stabilizabilnost |
mathematics |
functional analysis |
operator theory |
▫$C^\ast$▫-algebras |
locally ▫$C^\ast$▫-algebras |
Hilbert spaces |
algebraic Riccati equation |
stabilizability
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Dobovišek, Mirko | 05478 |
Kramar, Edvard | 05484 |
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