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  Volume 6, Issue 5, Article 129
 
Reverses of the Triangle Inequality in Banach Spaces

    Authors: Sever S. Dragomir,  
    Keywords: Reverse triangle inequality, Hilbert spaces, Banach spaces, Bochner integral.  
    Date Received: 18/04/05  
    Date Accepted: 05/07/05  
    Subject Codes:

Primary 46B05, 46C05; Secondary 26D15, 2

 
    Editors: Bertram Mond,  
 
    Abstract:

Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained. Particular instances of interest in Hilbert spaces and for complex numbers and functions are pointed out as well.

         
       
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