This reflects the space along an -dimensional affine subspace. An important example is the projection parallel to some direction onto an affine subspace. The orthogonal is a closed linear subspace of the dual. Let formula 185 be a maximal abelian subspace. Notice that each stalk has the discrete topology as subspace topology. Suppose formula 1 is a compact form and formula 153 a maximal abelian subspace. By Hermiticity, is an invariant subspace of . Every Jordan block "J" corresponds to an invariant subspace "X". A linear subspace of dimension 2 is a vector plane. Let be a maximal isotropic subspace, i.e. a maximal subspace of such that . Let denote the subspace spanned by these degenerate eigenstates. Particle exchange then corresponds to a linear transformation on this subspace of degenerate states. A linear subspace of dimension 1 is a vector line. Suppose now "W" is a "T" invariant subspace. This implies that the intersection of the linear subspace is reduced to the zero vector.