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Operator Inequalities on Hilbert Spaces


Marketed By :  LAP LAMBERT Academic Publishing   Sold By :  Kamal Books International  
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  • Product Description

Jensen's inequality for nomalized positive linear maps between the algebras of bounded linear operators on a Hilbert space is one of the most important inequalities in the functional analysis. In this book we establish some operator versions of Bellman's inequality. We also give some Bellman inequalities involving sesquilinear forms and invariant norms. In continuation, we refine the Jensen's operator inequality and use it for a refinement of the Bellman operator inequality. Also, we investigate a notion of relative operator entropy, which develops the theory started by J.I. Fujii and E. Kamei. Afterwards, some inequalities concerning the classical Shannon entropy are drawn from it.

Product Specifications
SKU :COC67640
AuthorAli Morassaei
Number of Pages128
Publishing Year2013-08-01T00:00:00.000
Edition1 st
Book TypeReal analysis, real variables
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-08 00:00:00