. . "1"^^ . "2008-05-19+02:00"^^ . "The project concentrates on research in pure mathematics (functional analysis, algebra). The main goal is to investigate topical open problems in the theory of operator algebras, orthomodular structures and non-commutative measure theory built on these structures. The main research lines are as follows: (1) Theory of operator algebras (von Neumann algebras, C*-algebras, Jordan algebras). Study of operator algebras, analysis of state properties and state spaces. (2) Theory of orthomodular structures. Investigation of ordered structures and their measure spaces, combinatorial constructions with orthocomplemented lattices and effect algebras. The proposed research project reflects recent state of the discipline and continues the previous research efforof the team. The applications to other fields (axiomatic of quantum physics, quantum measurement, cybernetics) will be also dealt with."@en . . . "V r\u00E1mci \u0159e\u0161en\u00ED projektu bylo dosa\u017Eeno \u0159ady v\u00FDznamn\u00FDch v\u00FDsledk\u016F, kter\u00E9 byly publikov\u00E1ny v p\u0159edn\u00EDch mezin\u00E1rodn\u00EDch \u010Dasopisech. \u00DA\u010Dastn\u00EDci projektu byli zv\u00E1ni na \u010Detn\u00E9 konference k hlavn\u00EDm p\u0159edn\u00E1\u0161k\u00E1m. Finan\u010Dn\u00ED hospoda\u0159en\u00ED bylo v po\u0159\u00E1dku. Celkov\u011B se jedn\u00E1 o vy"@cs . . . "Oper\u00E1torov\u00E9 algebry, ortokomplement\u00E1rn\u00ED struktury a nekomutativn\u00ED teorie m\u00EDry" . . "0"^^ . "24"^^ . . "24"^^ . . "Operator algebras, orthocomplemented structures, and non-commutative measure theory"@en . . . . . "http://www.isvav.cz/projectDetail.do?rowId=GA201/00/0331"^^ . . . "GA201/00/0331" . . "Neuvedeno."@en . "Projekt se v\u011Bnuje z\u00E1kladn\u00EDmu v\u00FDzkumu v oblasti matematiky (funkcion\u00E1ln\u00ED anal\u00FDza, algebra). Hlavn\u00EDm c\u00EDlem je \u0159e\u0161it aktu\u00E1ln\u00ED probl\u00E9my teorie oper\u00E1torov\u00FDch algeber, ortomodul\u00E1rn\u00EDch struktur a nekomutativn\u00ED teorie m\u00EDry budovan\u00E9 na t\u011Bchto struktur\u00E1ch. Konkr\u00E9tn\u00ED oblasti v\u00FDzkumu jsou: (1) Teorie oper\u00E1torov\u00FDch algeber (von Neumannovy algebry, C*-algebry, Jordanovy algebry). Studium struktury oper\u00E1torov\u00FDch algeber, vlastnost\u00ED stav\u016F a stavov\u00FDch prostor\u016F, (2) Teorie ortomodul\u00E1rn\u00EDch struktur. Studium uspo\u0159\u00E1dan\u00FDch struktur, prostor\u016F m\u011Br, kombinatorick\u00FDch konstrukc\u00ED, efektov\u00FDch algeber. Navr\u017Een\u00FD program reaguje na sou\u010Dasn\u00FD stav t\u011Bchto disciplin a navazuje na p\u0159edchoz\u00ED v\u00FDsledky t\u00FDmu. Aplikace v\u00FDsledk\u016F v jin\u00FDch v\u011Bdn\u00EDch oborech (axiomatika kvantov\u00E9 fyzikykvantov\u00E1 teorie m\u011B\u0159en\u00ED, kybernetika) budou tak\u00E9 p\u0159edm\u011Btem v\u00FDzkumu." . "0"^^ .