caa a22 4500 467931593 CHVBK 20180406152945.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s00020-005-1402-4 doi (NATIONALLICENCE)springer-10.1007/s00020-005-1402-4 On Bounded Local Resolvents [Elektronische Daten] [Janko Bračič, Vladimir Müller] Abstract.: It is known that each normal operator on a Hilbert space with nonempty interior of the spectrum admits vectors with bounded local resolvent. We generalize this result for Banach space operators with the decomposition property (δ) (in particular for decomposable operators). Moreover, the same result holds for operators with interior points in the localizable spectrum. Birkhäuser Verlag, Basel, 2005 Local spectrum nationallicence bounded local resolvent nationallicence localizable spectrum nationallicence Bračič Janko IMFM, University of Ljubljana, Jadranska ul. 19, 1111, Ljubljana, Slovenia aut Müller Vladimir Mathematical Institute, Czech Academy of Sciences, Žitná 25, 115 67, Prague 1, Czech Republic aut Integral Equations and Operator Theory Birkhäuser-Verlag; http://www.birkhauser.ch 55/4(2006-08-01), 477-486 0378-620X 55:4<477 2006 55 20 https://doi.org/10.1007/s00020-005-1402-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1402-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bračič Janko IMFM, University of Ljubljana, Jadranska ul. 19, 1111, Ljubljana, Slovenia aut NATIONALLICENCE 700 1- Müller Vladimir Mathematical Institute, Czech Academy of Sciences, Žitná 25, 115 67, Prague 1, Czech Republic aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; http://www.birkhauser.ch 55/4(2006-08-01), 477-486 0378-620X 55:4<477 2006 55 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer