Operators with disconnected spectra are dense

Domingo A. Herrero, Norberto Salinas
1972 Bulletin of the American Mathematical Society  
It is proven that the set of all (bounded linear) operators on a complex infinite dimensional Banach space having disconnected spectra is an open uniformly dense subset of the algebra of all operators. AM S 1970 subject classifications. Primary 47A15; Secondary 47 A10, 47A55.
doi:10.1090/s0002-9904-1972-12981-1 fatcat:fmalnakkbze4pnefuphan3ygh4