ORTHOGONAL STABILITY OF THE CAUCHY EQUATION ON BALLS

Justyna Sikorska
2000 Demonstratio Mathematica  
We deal with stability of some functional equations postulated for orthogonal vectors in a ball centered at the origin. The maps considered are defined on a finite dimensional inner product space and take their values in a real sequentially complete linear topological space. The main result establishes the stability of the corresponding conditional Cauchy functional equation and as a consequence we obtain some other stability results. Results which do not involve the orthogonality relation are
more » ... ality relation are considered in more general structures. 1991 Mathematics Subject Classification: 39B52.
doi:10.1515/dema-2000-0310 fatcat:qel4p63onrazporemtgwgcs5my