Abstract. In this article, several matrix norm inequalities are proved by making use of Hiroshima's result on majorization relations.

DOI: 10.14232/actasm-013-821-3

AMS Subject Classification (1991): 15A60, 47A30

Keyword(s): Hiroshima's theorem, matrix inequalities, commuting type inequalities, unitarily invariant norm

Received October 23, 2013, and in revised form November 20, 2013. (Registered under 71/2013.)