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math.FA2019
Tracial moment problems on hypercubes
Cong Trinh Le
In this paper we introduce the "tracial -moment problem" and the "sequential matrix-valued -moment problem" and show the equivalence of the solvability of these problems. Usi…
math.FA2019
Two trace inequalities for operator functions
Trung Hoa Dinh, Minh Toan Ho, Cong Trinh Le +1
In this paper we show that for a non-negative operator monotone function on such that and for any positive semidefinite matrices and , $$ Tr((A-B…
math.AG2019
Some applications of Scherer-Hol's theorem for polynomial matrices
Trung Hoa Dinh, Minh Toan Ho, Cong Trinh Le
In this paper we establish some applications of the Scherer-Hol's theorem for polynomial matrices. Firstly, we give a representation for polynomial matrices positive definite on su…