On the weighted Geometric mean of accretive matrices

2020/07/16 by Bedrani, Yassine, Kittaneh, Fuad, Sababheh, Mohammed · 2 citations
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2007.08650

Abstract

In this paper, we discuss new inequalities for accretive matrices through non standard domains. In particular, we present several relations for A^r and A\sharp_rB, when A,B are accretive and r∈ (-1,0)∪ (1,2). This complements the well established discussion of such quantities for accretive matrices when r∈ [0,1], and provides accretive versions of known results for positive matrices.

Cited by

• The numerical radius of fractional powers of matrices
• The Resolvent Mean and The Parametrized A \sharp B

Related

• From positive to accretive matrices
• The Resolvent Mean and The Parametrized A \sharp B
• Inequalities and limits of weighted spectral geometric mean
• Some Hadamard product inequalities for accretive matrices
• Further Properties of Accretive Matrices