Positive Linear Maps and Spreads of Matrices

Rajendra Bhatia, Rajesh Sharma

Type: Article

Publication Date: 2014-01-01

Citations: 24

DOI: https://doi.org/10.4169/amer.math.monthly.121.07.619

View Publication

Locations

American Mathematical Monthly - View

Similar Works

Action	Title	Year	Authors
+	Positive linear maps and spreads of matrices-II	2014	Rajendra Bhatia Rajesh Sharma
+ PDF Chat	Positive linear maps and spreads of normal matrices	2022	Rajesh Kumar Sharma Manish Pal
+	Positive Linear Maps and Perturbation bounds of Matrices	2015	Rashmi Sharma Renu Kumari
+ PDF Chat	Positive linear maps and perturbation bounds of matrices	2016	Rashmi Sharma Renu Kumari
+ PDF Chat	Some inequalities for eigenvalues and positive linear maps	2023	Ravinder Kumar Vidhi Bhatia
+	Positive Definite Matrices	2009	Rajendra Bhatia
+ PDF Chat	On the spread of certain normal matrices	2012	Shaun Fallat YongJun Xing
+	Linear Analysis	2021	Sameer Chavan Gadadhar Misra
+	Linear Maps and Matrices	1996	Rami Shakarchi
+	Annexes	2014	Étienne Pardoux Aurel Răşcanu
+	Idempotent Matrices	2014	Campbell B. Read
+	Positive linear maps and eigenvalue estimates for nonnegative matrices	2020	Rashmi Sharma Madhumangal Pal Arvind Sharma
+	Linear and Multilinear Algebra	2007	Bo-Ying Wang Fuzhen Zhang
+	Linear maps preserving Pareto eigenvalues	2016	Rahim Alizadeh Fatemeh Shakeri
+ PDF Chat	Matrix Transformations, Measures of Noncompactness, and Applications	2014	S. A. Mohiuddine Józef Banaś M. ‎Mursaleen Richard F. Patterson Abdullah Alotaibi A. Aghajani
+	Non-Linear Spectrum-Preserving Maps	2000	Line Baribeau Thomas Ransford
+	A review of matrix scaling and Sinkhorn's normal form for matrices and positive maps	2016	Martin Idel
+	A review of matrix scaling and Sinkhorn's normal form for matrices and positive maps	2016	Martin Idel
+	Appendix: Matrix Operations	2003	Mari Palta
+	Matrices and Linear Transformations	1967	John A. Carpenter

Works That Cite This (24)

Action	Title	Year	Authors
+	Some inequalities for central moments of matrices	2016	Zoltán Léka
+ PDF Chat	Grüss type inequalities for positive linear maps on <i>C</i><sup>∗</sup>-algebras	2016	Ali Reza Dadkhah Mohammad Sal Moslehian
+ PDF Chat	Some bounds for central moments and spreads of matrices	2023	Ravinder Kumar Vidhi Bhatia Harikripal
+	Positive linear maps and eigenvalue estimates for nonnegative matrices	2020	Rashmi Sharma Madhumangal Pal Arvind Sharma
+ PDF Chat	Positive linear maps and perturbation bounds of matrices	2016	Rashmi Sharma Renu Kumari
+	Some inequalities related to eigenvalues	2022	Ravinder Kumar Vidhi Bhatia
+	Some generalisations of the inequalities for positive linear maps	2016	Rashmi Sharma P. Devi Renu Kumari
+	Positive and doubly stochastic maps, and majorization in Euclidean Jordan algebras	2016	M. Seetharama Gowda
+	Positive linear maps and spreads of matrices-II	2014	Rajendra Bhatia Rajesh Sharma
+ PDF Chat	Note on bounds for eigenvalues using traces	2022	Rajesh Sharma M. Pal

Works Cited by This (6)

Action	Title	Year	Authors
+	Bounds for the spectrum of normal matrices	1994	Earl Barnes Alan J. Hoffman
+	Lower bounds for the spread of a matrix	1985	Charles R. Johnson Ravinder Kumar Henry Wolkowicz
+	Inequalities for normal and Hermitian matrices	1957	L. Mirsky
+	Characterizations and lower bounds for the spread of a normal matrix	2003	Jorma K. Merikoski Ravinder Kumar
+	Some inequalities for positive linear maps	2010	Rajendra Bhatia Rajesh Sharma
+	Positive Definite Matrices	2009	Rajendra Bhatia