%0 Journal Article %T A simple proof of the closed graph theorem %A Alexander G. Ramm %J - %D 2016 %R 10.14419/gjma.v4i1.5534 %X Assume that A is a closed linear operator defined on all of a Hilbert space H. Then, A is bounded. This classical theorem is proved on the basis of uniform boundedness principle. The proof is easily extended to Banach spaces. %U https://www.sciencepubco.com/index.php/GJMA/article/view/5534