Some determinant inequalities for operators
WebWe study the optimal Slater-determinant approximation of an -fermion wave function analytically. That is, we seek the Slater-determinant (constructed out of orthonormal single-particle orbitals) wave function having l… WebSep 17, 2024 · Finding the corresponding eigenvectors still takes some work, ... Thus the determinant of \(A\) is the product of the eigenvalues. We summarize the results of our example with the following theorem. Theorem \(\PageIndex{1}\) Properties of Eigenvalues and Eigenvectors. Let \(A\) be an \(n\times n\) invertible matrix. The following are ...
Some determinant inequalities for operators
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In this article, we obtain some operator mean inequalities of sectorial matrices involving operator monotone functions. WebMar 10, 2024 · We first present a determinant inequality related to partial traces for positive semidefinite block matrices. Our result extends a result of Lin [Czech. Math. J. 66 (2016)] …
WebJan 1, 2024 · Firstly, some logarithmic submajorizations inequalities due to Garg and Aulja are extended to the case of operators in a finite von Neumann algebra. As an application, … WebApr 18, 2024 · A generalization of classical determinant inequalities like Hadamard's inequality and Fischer's inequality is studied. For a version of the inequalities originally …
WebThe aim of this note is to study the determinant inequalities for operators in a finite von Neumann algebra. In particular, some determinant inequalities due to Hua, Lin and Zhang are extended to the case of operators in a finite von Neumann algebra. WebMay 6, 2024 · PDF On May 6, 2024, Silvestru Sever Dragomir published INEQUALITIES FOR NORMALIZED ENTROPIC DETERMINANT OF POSITIVE OPERATORS IN HILBERT SPACES …
WebJan 2, 2024 · Mathematics. Linear and Multilinear Algebra. Abstract The aim of this note is to study the determinant inequalities for operators in a finite von Neumann algebra. In …
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