Trace inequalities for logarithms and powers of J-Hermitian matrices
DOI10.1016/j.laa.2010.01.017zbMath1193.15016OpenAlexW2074588227MaRDI QIDQ968990
João da Providência, Natália Bebiano, Rute Lemos, Graça Soares
Publication date: 11 May 2010
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2010.01.017
relative entropyeigenvaluestracespectral inequalitiesTsallis entropyindefinite inner product spacePeierls-Bogoliubov inequalityexponential logarithmicJ-Hermitian matrixKlein inequality
Determinants, permanents, traces, other special matrix functions (15A15) Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Linear operators on spaces with an indefinite metric (47B50) Matrix exponential and similar functions of matrices (15A16)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Trace inequalities in nonextensive statistical mechanics
- The Golden-Thompson trace inequality is complemented
- Log majorization and complementary Golden-Thompson type inequalities
- Matrix inequalities in statistical mechanics.
- Inequalities for quantum relative entropy
- Löwner inequality of indefinite type
- Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra
- Inequalities for traces on von Neumann algebras
- A note on operator inequalities of Tsallis relative operator entropy
- Inequalities for \(J\)-Hermitian matrices
- Fundamental properties of Tsallis relative entropy
- Furuta inequality of indefinite type
- Further developments of Furuta inequality of indefinite type
- Equality cases in matrix norm inequalities of golden-thompson type
- $A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$
This page was built for publication: Trace inequalities for logarithms and powers of J-Hermitian matrices