. "The aim of the project is to contribute to the solution of some of the fundamental question regarding the structure of Banach spaces. In the contextof separable spaces it is especially the containment of copies of cO into quotients of polyhedral spaces. The question on the existence of smooth separating functions on asplund spaces. Problems of the density of smooth renormings and the existence of lipschitz retractions for certain C(K)spaces. The boundary problem, ie. generalization of Rainwaters theorem to the case of arbitrary boundary and dropping the sequentiality assumption. Structure of biorthogonal systems and Markushevich basas in nonseparable Banach spaces."@en . . "0"^^ . "The structure of Banach spaces"@en . . "Smooth operators from C(K) often carry a copy of c_0 into range space. Separable spaces admit polynomials of odd degree without large null subspaces. Superreflexive spaces with basis have a uniformly rotund monotonne renorming."@en . . "2013-06-28+02:00"^^ . "14"^^ . . "2007-02-27+01:00"^^ . "14"^^ . "Struktura Banachov\u00FDch prostor\u016F" . . . "structure of Banach spaces; C(K) spaces; biortogonal system"@en . "Hladk\u00E9 oper\u00E1tory z C(K) prostor\u016F \u010Dasto p\u0159en\u00E1\u0161ej\u00ED kopii c_0 do c\u00EDlov\u00E9ho prostoru. Na separabiln\u00EDch prostorech existuj\u00ED polynomy lich\u00E9ho stupn\u011B bez velk\u00FDch nulov\u00FDch podprostor\u016F. Suprreflexivn\u00ED prostory s baz\u00ED lze monotonn\u011B a uniformn\u011B konvexn\u011B renormovat."@cs . . . . "structure of Banach spaces" . "2007-12-01+01:00"^^ . " C(K) spaces" . "http://www.isvav.cz/projectDetail.do?rowId=IAA100190502"^^ . "1"^^ . "IAA100190502" . . . "2005-01-01+01:00"^^ . . . "0"^^ . . "C\u00EDlem projektu je p\u0159isp\u011Bt k vy\u0159e\u0161en\u00ED n\u011Bkolika z\u00E1kladn\u00EDch ot\u00E1zek t\u00FDkaj\u00EDc\u00EDch se struktury Banachov\u00FDch prostor\u016F. Pro separabiln\u00ED prostory je to zejm\u00E9na obsahov\u00E1n\u00ED kopi\u00ED cO v kvocientech polyhedr\u00E1ln\u00EDch prostor\u016F. Ot\u00E1zka existence hladk\u00FDch separuj\u00EDc\u00EDch funkc\u00ED na Asplundov\u00FDch prostorech. Probl\u00E9my hustoty hladk\u00FDch renormac\u00ED a existence Lipschitzovsk\u00FDch retrakc\u00ED pro ur\u010Dit\u00E9 C(K) prostory. Probl\u00E9m hranice, tj. zobecn\u011Bn\u00ED Rainwaterovy v\u011Bty na p\u0159\u00EDpad libovoln\u00E9 hranice a odstran\u011Bn\u00ED sekvenci\u00E1ln\u00EDho p\u0159edpokladu. Struktura biortogon\u00E1ln\u00EDch syst\u00E9m\u016F a Marku\u0161evi\u010Dov\u00FDch bas\u00ED v neseparabiln\u00EDch Banachov\u00FDch prostorech." . . . .