We investigate the structure of the multiplier module of a Hilbert module over a pro-C*-algebra and the relationship between the set of all adjointable operators from a Hilbert A-module E to a Hilbert A-module F and the set of all adjointable operators from the multiplier module M(E) to M(F).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm185-3-4, author = {Maria Joi\c ta}, title = {On multipliers of Hilbert modules over pro-C*-algebras}, journal = {Studia Mathematica}, volume = {187}, year = {2008}, pages = {263-277}, zbl = {1146.46032}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm185-3-4} }
Maria Joiţa. On multipliers of Hilbert modules over pro-C*-algebras. Studia Mathematica, Tome 187 (2008) pp. 263-277. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm185-3-4/