Majorizations and inequalities in matrix theory
T Ando - Linear algebra and its Applications, 1994 - Elsevier
In matrix theory, majorization plays a significant role. For instance, majorization relations
among eigenvalues and singular values of matrices produce a lot of norm inequalities and …
among eigenvalues and singular values of matrices produce a lot of norm inequalities and …
[图书][B] Invitation to linear operators: From matrices to bounded linear operators on a Hilbert space
T Furuta - 2001 - books.google.com
Most books on linear operators are not easy to follow for students and researchers without
an extensive background in mathematics. Self-contained and using only matrix theory …
an extensive background in mathematics. Self-contained and using only matrix theory …
A Cauchy-Schwarz inequality for operators with applications
R Bhatia, C Davis - Linear algebra and its applications, 1995 - Elsevier
For any unitarily invariant norm on Hilbert-space operators it is shown that for all operators
A, B, X and positive real numbers r we have|||| A∗ XB| r||| 2⩽|||| AA∗ X| r||||||| XBB∗| r|||. Some …
A, B, X and positive real numbers r we have|||| A∗ XB| r||| 2⩽|||| AA∗ X| r||||||| XBB∗| r|||. Some …
[PDF][PDF] The matrix arithmetic-geometric mean inequality revisited
R Bhatia, F Kittaneh - Linear Algebra and Its Applications, 2008 - repository.ias.ac.in
Twenty years ago we formulated and proved a matrix version of the arithmeticgeometric
mean inequality [13]. This seems to have stimulated several authors who have found …
mean inequality [13]. This seems to have stimulated several authors who have found …
Arithmetic–geometric mean and related inequalities for operators
H Kosaki - Journal of functional analysis, 1998 - Elsevier
In recent years certain arithmetic–geometric mean and related inequalities for operators and
unitarily invariant norms have been obtained by many authors based on majorization …
unitarily invariant norms have been obtained by many authors based on majorization …
Positive definite functions and operator inequalities
R Bhatia, KR Parthasarathy - Bulletin of the London Mathematical …, 2000 - cambridge.org
POSITIVE DEFINITE FUNCTIONS AND OPERATOR INEQUALITIES Page 1 POSITIVE
DEFINITE FUNCTIONS AND OPERATOR INEQUALITIES RAJENDRA BHATIA and KR …
DEFINITE FUNCTIONS AND OPERATOR INEQUALITIES RAJENDRA BHATIA and KR …
Geodesics and operator means in the space of positive operators
G Corach, H Porta, L Recht - International Journal of Mathematics, 1993 - World Scientific
The set A+ of positive invertible elements of a C*-algebra has a natural structure of reductive
homogeneous manifold with a Finsler metric. Because pairs of points can be joined by …
homogeneous manifold with a Finsler metric. Because pairs of points can be joined by …
Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups
D Cardona, M Ruzhansky - arXiv preprint arXiv:2008.09651, 2020 - arxiv.org
In this memoir we extend the theory of global pseudo-differential operators to the setting of
arbitrary sub-Riemannian structures on a compact Lie group. More precisely, given a …
arbitrary sub-Riemannian structures on a compact Lie group. More precisely, given a …
Norm inequalities equivalent to Heinz inequality
J Fujii, M Fujii, T Furuta, R Nakamoto - Proceedings of the American …, 1993 - ams.org
NORM INEQUALITIES EQUIVALENT TO HEINZ INEQUALITY (1)_ \\SXQ + QS2\\ > \\SaxQSx2~a
+ S\-aQS$\\, Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume …
+ S\-aQS$\\, Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume …
Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for -Measurable Operators: Part II
PG Dodds, TK Dodds, FA Sukochev… - Integral Equations and …, 2020 - Springer
The paper establishes arithmetic–geometric mean and related submajorisation and norm
inequalities for τ τ-measurable operators affiliated with a semi-finite von Neumann algebra …
inequalities for τ τ-measurable operators affiliated with a semi-finite von Neumann algebra …