Journal of Operator Theory
Volume 36, Issue 2, Fall 1996 pp. 357-377.
On the iterates of a paracomplete operatorAuthors: Laura Burlando
Author institution:Dipartimento di Matematica, dell’Università di Genova, Via Dodecaneso 35, 16146 Genova, ITALY
Summary: In this paper we obtain some density results concerning convenient topologies on the domains of the iterates of a (possibly unbounded and non-everywhere defined) linear operator acting in a Banach space, for which a suitable essential resolvent set is nonempty.
Keywords: Unbounded linear operators in Banach spaces, paracomplete operators, dense subsets of the domains of the iterates, upper and lower essential resolvent sets.
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