University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 2 1 1991 06 01 ON THE CONTINUITY OF PROJECTIONS AND A GENERALIZED GRAM-SCHMIDT PROCESS - 31505 EN Journal Article Let ? be an open connected subset of the complex plane C and let T be a bounded linear operator on a Hilbert space H. For ? in ? let e the orthogonal projection onto the null-space of T-?I . We discuss the necessary and sufficient conditions for the map ?? to b e continuous on ?. A generalized Gram- Schmidt process is also given. https://jsciences.ut.ac.ir/article_31505_6326bcc85252edd1439a695f78c96e23.pdf