. "RIV/67985840:_____/04:00106841!RIV/2005/GA0/A05005/N" . "Invariantn\u00ED podprostory polynomi\u00E1ln\u011B ohrani\u010Den\u00FDch oper\u00E1tor\u016F"@cs . "Let T be a polynomially bounded operator on a Banach space X whose spectrum contains the unit circle. Then T* has a nontrivial invariant subspace. In particular, if X is reflexive, then T itself has a nontrivial invariant subspace. This generalizes the well-known result of Brown, Chevreau, and Pearcy for Hilbert space contractions." . . "polynomially bounded operators;invariant subspaces"@en . "25"^^ . . "568840" . . "Let T be a polynomially bounded operator on a Banach space X whose spectrum contains the unit circle. Then T* has a nontrivial invariant subspace. In particular, if X is reflexive, then T itself has a nontrivial invariant subspace. This generalizes the well-known result of Brown, Chevreau, and Pearcy for Hilbert space contractions."@en . . "Invariant subspaces for polynomially bounded operators"@en . . "1"^^ . . . . "2"^^ . "RIV/67985840:_____/04:00106841" . "0022-1236" . . . "Nech\u0165 T je polynomi\u00E1ln\u011B ohrani\u010Den\u00FD oper\u00E1tor na Banachov\u011B prostoru X, jeho\u017E spektrum obsahuje jednotkovou kru\u017Enici. Pak T* m\u00E1 netrivi\u00E1ln\u00ED invariantn\u00ED podprostor. To zobec\u0148uje zn\u00E1m\u00FD v\u00FDsledek ( Brown, Chevreau, Pearcy ) pro kontrakce na Hilbertov\u011B prostoru."@cs . "M\u00FCller, Vladim\u00EDr" . "Journal of Functional Analysis" . "P(GA201/03/0041), Z(AV0Z1019905)" . "321;345" . "Invariant subspaces for polynomially bounded operators" . "Invariant subspaces for polynomially bounded operators"@en . . "213" . . . . "[9C7EF6C81C18]" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Invariantn\u00ED podprostory polynomi\u00E1ln\u011B ohrani\u010Den\u00FDch oper\u00E1tor\u016F"@cs . "Invariant subspaces for polynomially bounded operators" . "2" . "Ambrozie, C." . .