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math.FA2025
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…
math.FA2025
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…
math.FA2023
Perturbation of Schauder frames and besselian Schauder frames in Banach spaces
Samir Kabbaj, Rafik Karkri, Hicham Zoubeir
We consider the stability of Schauder frames and besselian Schauder frames under perturbations. Our results are inspirit close to the results of Heil [18].