%0 Journal Article %T ON THE CONTINUITY OF PROJECTIONS AND A GENERALIZED GRAM-SCHMIDT PROCESS %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %D 1991 %\ 06/01/1991 %V 2 %N 1 %P - %! ON THE CONTINUITY OF PROJECTIONS AND A GENERALIZED GRAM-SCHMIDT PROCESS %R %X 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. %U https://jsciences.ut.ac.ir/article_31505_e16792921bfa10a2912b21ff46ad7fec.pdf