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math.FA2021
New applications to combinatorics and invariant matrix norms of an integral representation of natural powers of the numerical values
H. A. Issa, B. Mourad, H. Abbass
Let be the -th symmetric tensor power of . In \cite{IAM}, we have expressed the normalized trace of as an integral of the -th power…
math.CO2021
On an integral representation of the normalized trace of the -th symmetric tensor power of matrices and some applications
Hassan Issa, Hassan Abbas, Bassam Mourad
Let be an matrix and let be its -th symmetric tensor product. We express the normalized trace of as an integral of the -th powers of the…
math.FA2021
New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality
Mohammad M. Ghabries, Hassane Abbas, Bassam Mourad +1
The purpose of this paper is to establish new log-majorization results concerning eigenvalues and singular values which generalize some previous work related to a conjecture and an…