On multipliers of Hilbert modules over pro-$C^{\ast }$-algebras
Volume 185 / 2008
Studia Mathematica 185 (2008), 263-277
MSC: 46L05, 46L08.
DOI: 10.4064/sm185-3-4
Abstract
We investigate the structure of the multiplier module of a Hilbert module over a pro-$C^{\ast }$-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 $M(F)$.