Volume 36 • Number 2 • 2013   • Generic Properties of Module Maps and Characterizing Inverse Limits of C*-Algebras of Compact Operators Kamran Sharifi Abstract. We study closedness of the range, adjointability and generalized invertibility of modular operators between Hilbert modules over locally C*-algebras of coefficients. Our investigations and the recent results of M. Frank reveal a number of equivalence properties of the category of Hilbert modules over locally C*-algebras which characterize precisely the inverse limit of C*-algebras of the C*-algebra of compact operators. 2010 Mathematics Subject Classification: Primary 46L08; Secondary 47A05, 46L05, 15A09 Full text: PDF