"RIV/67985840:_____/06:00044366" . . . "M\u00FCller, Vladim\u00EDr" . "CH - \u0160v\u00FDcarsk\u00E1 konfederace" . "1"^^ . "0378-620X" . . . . . . "local spectrum; bounded local resolvent; localizable spectrum"@en . . "3" . "2"^^ . . "It is known that each normal operator on a Hilbert space with non-empty interior of the spectrum admits vectors with bounded local resolvent. We generalize this result for Banach space operators with the decomposition property (.beta.) (in particular for decomposable operators). Moreover, the same result holds for operators with interior points in the localizable spectrum." . "On Bounded Local Resolvents" . . . "Integral Equations and Operator Theory" . "Pro \u0161irokou t\u0159\u00EDdu oper\u00E1tor\u016F je uk\u00E1z\u00E1na existence ohrani\u010Den\u00E9 lok\u00E1ln\u00ED resolventy."@cs . . "[8ABA7F2CEB39]" . "Bra\u010Di\u010D, J." . "It is known that each normal operator on a Hilbert space with non-empty interior of the spectrum admits vectors with bounded local resolvent. We generalize this result for Banach space operators with the decomposition property (.beta.) (in particular for decomposable operators). Moreover, the same result holds for operators with interior points in the localizable spectrum."@en . "10"^^ . "O ohrani\u010Den\u00FDch lok\u00E1ln\u00EDch resolvent\u00E1ch"@cs . "On Bounded Local Resolvents"@en . "490278" . . "O ohrani\u010Den\u00FDch lok\u00E1ln\u00EDch resolvent\u00E1ch"@cs . "RIV/67985840:_____/06:00044366!RIV07-AV0-67985840" . . . "P(GA201/03/0041), Z(AV0Z10190503)" . "55" . "477;486" . . . "On Bounded Local Resolvents"@en . "On Bounded Local Resolvents" .