2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71712We study deformation quantization on an infinite-dimensional Hilbert space $W$ endowed with its canonical Poisson structure. The standard example of the Moyal star-product is made explicit and it is shown that it is well defined on a subalgebra of $C^\infty(W)$. A classification of inequivalent deformation quantizations of exponential type, containing the Moyal and normal star-products, is also given.Quantum AlgebraDeformation quantization on a Hilbert spacetext