  We present some properties of orthogonality and relate them with support
disjoint and norm inequalities in p Schatten ideals. In addition, we
investigate the problem of characterization of norm parallelism for bounded
linear operators. We consider the characterization of norm parallelism problem
in p Schatten ideals and locally uniformly convex spaces. Later on, we study
the case when an operator is norm parallel to the identity operator. Finally,
we give some equivalence assertions about the norm parallelism of compact
operators. Some applications and generalizations are discussed for certain
operators.
