On the value of the fifth maximal projection constant
Let λ (m) denote the maximal absolute projection constant over real m-dimensional
subspaces. This quantity is extremely hard to determine exactly, as testified by the fact that …
subspaces. This quantity is extremely hard to determine exactly, as testified by the fact that …
Naimark-spatial families of equichordal tight fusion frames
M Fickus, BR Mayo, CE Watson - Applied and Computational Harmonic …, 2025 - Elsevier
An equichordal tight fusion frame (Image 1) is a finite sequence of equi-dimensional
subspaces of a Euclidean space that achieves equality in Conway, Hardin and Sloane's …
subspaces of a Euclidean space that achieves equality in Conway, Hardin and Sloane's …
Declipping and the recovery of vectors from saturated measurements
A frame $(x_j) _ {j\in J} $ for a Hilbert space $ H $ allows for a linear and stable
reconstruction of any vector $ x\in H $ from the linear measurements $(\langle x, x_j\rangle) …
reconstruction of any vector $ x\in H $ from the linear measurements $(\langle x, x_j\rangle) …
Certifying the novelty of equichordal tight fusion frames
An equichordal tight fusion frame (ECTFF) is a finite sequence of equi-dimensional
subspaces of a finite-dimensional Hilbert space that achieves equality in Conway, Hardin …
subspaces of a finite-dimensional Hilbert space that achieves equality in Conway, Hardin …
Doubly transitive equiangular tight frames that contain regular simplices
M Fickus, EC Lake - arXiv preprint arXiv:2302.08879, 2023 - arxiv.org
An equiangular tight frame (ETF) is a finite sequence of equal norm vectors in a Hilbert
space of lesser dimension that achieves equality in the Welch bound and so has minimal …
space of lesser dimension that achieves equality in the Welch bound and so has minimal …
Regular Simplices Within Doubly Transitive Equiangular Tight Frames
EC Lake - 2023 - scholar.afit.edu
An equiangular tight frame (ETF) yields an optimal way to pack a given number of lines into
a given space of lesser dimension. Every ETF has minimal coherence, and this makes it …
a given space of lesser dimension. Every ETF has minimal coherence, and this makes it …
Testing isomorphism between tuples of subspaces
Given two tuples of subspaces, can you tell whether the tuples are isomorphic? We develop
theory and algorithms to address this fundamental question. We focus on isomorphisms in …
theory and algorithms to address this fundamental question. We focus on isomorphisms in …