The harmonic analysis of the Grassmannian bundle of k-dimensional affine subspaces of Rn, as a homogeneous space of the Euclidean motion group, is given explicitly. This is used to obtain the ...

A $\sigma$-weakly closed subspace $\mathscr{S}$ of $B(\mathscr{H})$ is said to have Property $S_\sigma$ if for any $\sigma$-weakly closed subspace $\mathscr{J}$ of a ...