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Some inequalities for unitarily invariant norms

Some inequalities for unitarily invariant norms

This paper aims to present some inequalities for unitarily invariant norms.In section 2, we give a refinement of the Cauchy-Schwarz inequality for matrices.In section 3, we obtain an improvement for the result of Bhatia and Kittaneh [Linear Algebra Appl.308 (2000) 203-211].In section 4, we establish an improved Heinz inequality for …