@article{oai:ynu.repo.nii.ac.jp:00006628, author = {Patel, S. M.}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, In this note some elementry facts on essentially normaloid and essentially convexoid operators are established. It is shown that (i) a nomaloid operator need not be essentially normaloid and vice versa, (ii) a paranormal operator is not essentially convexoid, (iii) the class of essentially normaloid operators is a closed nowhere dense subset of the algebra of operators, and (iv) for an essentially convexoid (essentially normaloid, essentially spectraloid) operator $T$, there exists a compact operator $K$ such that $T+K$ is convexoid (normaloid, spectraloid).}, pages = {55--59}, title = {ESSENTIALLY NORMALOID AND ESSENTIALLY CONVEXOID OPERATORS}, volume = {26}, year = {1978} }