Determinantal Inequalities for Block Triangular Matrices
نویسندگان
چکیده
This paper presents some results that complement (2). We believe our results are of new pattern concerning determinantal inequalities. Let us fix some notation. The matrices considered here have entries from the field of complex numbers. X ′,X ,X∗ stand for transpose, (entrywise)conjugate, conjugate transpose of X , respectively. For two n -square Hermitian matrices X ,Y , we write X > Y to mean X −Y is positive semidefinite (so X > 0 means X is positive semidefinite). The n -square identity matrix is denoted by In . The Frobenius norm of X is denoted by ‖X‖F . It is known that
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