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On the $B$-angle and $g$-angle in normed spaces  
 
  Authors: Pavle M. Milicic,  
  Keywords: Smooth normed spaces, quasi-inner product spaces, oriented (non-oriented) $B-$angle between two vectors, oriented (non-oriented) $g-$angle between two vectors.  
  Date Received: 15/02/07  
  Date Accepted: 16/07/07  
  Subject Codes:

46B20, 46C15, 51K05.

  
  Editors: Sever S. Dragomir,  
 
  Abstract:

It is known that in a strictly convex normed space, the $ B-$orthogonality (Birkhoff orthogonality) has the property, ``$ B-$orthogonality is unique to the left``. Using this property, we introduce the definition of the so-called $ B-$angle between two vectors, in a smooth and uniformly convex space. Also, we define the so-called $ g-$angle between two vectors. It is demonstrated that the $ g-$angle in a unilateral triangle, in a quasi-inner product space, is $ pi /3$. The $ g-$angle between a side and a diagonal, in a so-called $ g-$quandrangle, is $ pi /4$. ;


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