Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (6): 1493-1499.

• Articles • Previous Articles     Next Articles

Kadison's Inequality for Several Operators

 YANG Chang-Sen, HAO Zhi-Wei   

  1. College of Mathematics and Information Science, Henan Normal University, Henan Xinxiang 453007
  • Received:2013-10-08 Revised:2014-04-06 Online:2014-12-25 Published:2014-12-25
  • Supported by:

    国家自然科学基金 (11271112, 11201127)资助

Abstract:

Let Φ be a unital positive linear map between unital C*-algebra A and B(H) the algebra of all bounded linear operators on a Hilbert space H. Kadison's inequality say that Φ(A)2Φ≤(A2) for each self-adjoint element A in A. In this paper, we extent Kadison's inequality via Furuta inequality to several operators.

Key words: Positive operator, Positive linear map, Choi inequality, Kadison´s inequality, Furuta inequality

CLC Number: 

  • 47A63
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