Generalization of some unitarily invariant norm inequalities for matrices
نویسندگان
چکیده
منابع مشابه
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 the Hilbert-Schmidt norm. Finally, we present an inequality...
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let x be an n-square complex matrix with the cartesian decomposition x = a + i b, where a and b are n times n hermitian matrices. it is known that $vert x vert_p^2 leq 2(vert a vert_p^2 + vert b vert_p^2)$, where $p geq 2$ and $vert . vert_p$ is the schatten p-norm. in this paper, this inequality and some of its improvements ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2023
ISSN: ['1846-579X', '1848-9575']
DOI: https://doi.org/10.7153/jmi-2023-17-37