Atribución-NoComercial 4.0 InternacionalTakahaschi, Alfonso2019-06-282019-06-281979https://repositorio.unal.edu.co/handle/unal/42568A Hilbert module over a C*-algebra A with identity is an unitary A-module H, endowed with an inner product taking values in A. We consider these modules and derive some of their elementary properties. Later we consider fields of Hilbert modules and obtain a representation of H by means of continuous sections. This result will be used in other papers ([7] and [8]) to get a duality theorem and to study special Hilbert modules.application/pdfspaDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/Hilbert modules and their representationArtículo de revistahttp://bdigital.unal.edu.co/32665/info:eu-repo/semantics/openAccessHilbert moduleC*-algebratheorem