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Several different notions of essential spectra are known. This paper is devoted to giving an equivalent definition of the Browder essential spectrum for bounded operators on Hubert space. Also, it is shown that the set of all operators with essentially disconnected spectrum is a uniformly dense set. Key words and phrases. Compression to subspaces of finite codimension, polynomial hull of the Browder spectrum.doi:10.1090/s0002-9939-1973-0313852-4 fatcat:tje6rbrstja33nbv3ejk4nmb3u