4 papers
A general equivalence relation on the global class of morphisms of a category
Nizar El Idrissi
We introduce a general equivalence relation on the global class of morphisms of a category that subsumes several classical notions of equivalence in mathematics. We show that group…
Two Hornich-Hlawka-type and Gram matrix-based inequalities
Nizar El Idrissi, Hicham Zoubeir
We establish two inequalities in real inner product spaces. The first is a multiplicative strengthening of the classical Hornich-Hlawka inequality: for all vectors in a r…
Probability measure annihilating all finite-dimensional subspaces
Nizar El Idrissi, Hicham Zoubeir
We propose in this short note a prime numbers-based method for constructing probability measures on infinite-dimensional Banach spaces annihilating all finite-dimensional subspaces…
Almost sure linear independence of absolutely continuous Hilbert space-valued random vectors with respect to a special class of Hilbert space probability measures
Nizar El Idrissi, Hicham Zoubeir
This note examines the implications of randomly selecting vectors from an infinite-dimensional Hilbert space on linear independence, assuming that for all , the first vector…