On a conjecture of Kaplansky

Shôichirô Sakai
1960 Tohoku mathematical journal  
Prof. Kaplansky stated a conjecture that any derivation of a C*-algebra would be automatically continuous [1] . In this note, we shall show that this conjecture is in fact true.
doi:10.2748/tmj/1178244484 fatcat:h7pbo6s3kreodcv4bhy2oriuvy