Infinite parallelotope
Linear algebra
We study the geometry of finite dimensional space as the dimension grows to infinity with an accent on the height of the parallelotope.
The height of an infinite parallelotope is infinite
In press Linear Algebra and its Applications (2024)
We show that Γ(f0,f1,…,fm)Γ(f1,…,fm)=∞ for m+1 vectors having the properties that no non-trivial linear combination of them belongs to l2(ℕ). This property is essential in the proof of the irreducibility of unitary representations of some infinite-dimensional groups.
In press Linear Algebra and its Applications (2024)