A CHARACTERIZATION OF LOCAL RESOLVENT SETS

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2006 English Publisher:The Korean Mathematical SocietyJournal:Communications of the Korean Mathematical Society, volume 21, pages 253-259 (issn: 1225-1763,

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Authors: Hyuk Han; Jong-Kwang Yoo;

doi: 10.4134/ckms.2006.21.2.253

A CHARACTERIZATION OF LOCAL RESOLVENT SETS

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Abstract

Let T be a bounded linear operator on a Banach space X. And let be the local resolvent set of T at . Then we prove that a complex number belongs to if and only if there is a sequence in X such that for n = 0, 1, 2,..., = x and is bounded.

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