%0 Journal Article
%A Jiménez Sevilla, María Del Mar
%A Lajara, Sebastián
%T Operator ranges and endomorphisms with a prescribed behaviour on Banach spaces
%D 2022
%U https://hdl.handle.net/20.500.14352/72584
%X We obtain several extensions of a theorem of Shevchik which asserts that if R is a proper dense operator range in a separable Banach space E, then there exists a compact, one-to-one and dense-range operator T : E → E such that T(E) ∩ R = {0}, and some results of Chalendar and Partington concerning the existence of compact, one-to-one and dense-range endomorphisms on a separable Banach space E which leave invariant a given closed subspace Y ⊂ E, or more generally, a countable increasing chain of closed subspaces of E.
%~