In this work, we introduce a natural notion concerning finite vector spaces. A family of k-dimensional subspaces Fqn, which forms partial spread, is called almost affinely disjoint if any (k+1)-dimensional subspace containing from the non-trivially intersects with only few family. The central question discussed in paper polynomial growth (in q) maximal cardinality these families given parameter...

in this paper, we first discuss about canonical dual of g-frameλp = {λip ∈ b(h, hi) : i ∈ i}, where λ = {λi ∈ b(h, hi) :i ∈ i} is a g-frame for a hilbert space h and p is the orthogonalprojection from h onto a closed subspace m. next, we provethat, if λ = {λi ∈ b(h, hi) : i ∈ i} and θ = {θi ∈ b(k, hi) :i ∈ i} be respective g-frames for non zero hilbert spaces hand k, and λ and θ are unitarily e...