Open AccessStably Solvable Maps are Unstable under Small Perturbations
Author(s) -
Massimo Furi
Publication year - 2002
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1072
Subject(s) - physics , mathematics , geometry , control theory (sociology) , computer science , artificial intelligence , control (management)
We show that the set of stably solvable maps from an infinite dimensional Banach space E into itself is not open in the topological space C(E) of the continuous selfmaps of E. The question of whether or not this set is open is related to nonlinear spectral theory and was posed in [7].
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