TY - JOUR ID - Szlachtowska2012 LB - Szlachtowska2012 AU - Szlachtowska, Ewa AU - Mielczarek, Dominik TI - On the uniqueness of minimal projections in Banach spaces ST - On the uniqueness of minimal projections in Banach spaces JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2012 VL - 32 IS - 3 SP - 579 EP - 590 DO - http://dx.doi.org/10.7494/OpMath.2012.32.3.579 UR - http://dx.doi.org/10.7494/OpMath.2012.32.3.579 AB - Let \(X\) be a uniformly convex Banach space with a continuous semi-inner product. We investigate the relation of orthogonality in \(X\) and generalized projections acting on \(X\). We prove uniqueness of orthogonal and co-orthogonal projections. KW - minimal projection KW - orthogonal projection KW - co-orthogonal projection KW - uniqueness of norm-one projection SN - 1232-9274 ER -