4 papers
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…
Invertibility in partially ordered nonassociative rings
Nizar El Idrissi, Hicham Zoubeir
Invertibility is important in ring theory because it enables division and facilitates solving equations. Moreover, (nonassociative) rings can be endowed with an extra ''structure''…