RT Journal Article T1 Operator ranges and endomorphisms with a prescribed behaviour on Banach spaces A1 Jiménez Sevilla, María Del Mar A1 Lajara, Sebastián AB 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. YR 2022 FD 2022-06 LK https://hdl.handle.net/20.500.14352/72584 UL https://hdl.handle.net/20.500.14352/72584 LA eng NO Ministerio de Ciencia e Innovación (MICINN) DS Docta Complutense RD 9 may 2025