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    STUDIA MATHEMATICA - Issue no. 2 / 2007  
         
  Article:   BOOK REVIEW - RAJENDRA BHATIA, POSITIVE DEFINITE MATRICES, PRINCETON SERIES IN APPLIED MATHEMATICS, PRINCETON UNIVERSITY PRESS, PRINCETON AND OXFORD 2007, IX + 254 PP., ISBN 0-691-12918-5..

Authors:  ŞTEFAN COBZAŞ. 		 
       
         
  Abstract:  The present book is devoted to the study of positive matrices, positive linear maps, and positive definite functions. This is a rich field with numerous interesting results and with deep and far reaching applications. One of the domains of application, of great interest in the last time, is quantum information theory, where the quantum communication channels are thought as completely positive trace preserving linear maps. The author presents in the fourth chapter two fundamental results in quantum entropy - the inequalities of Lieb-Ruskai and Furuta’s inequality.  
         
     
         
         
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