Geodesic
Generic Properties of Module Maps and Characterizing Inverse Limits of C*-Algebras of Compact Operators
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2

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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.
Classification : Primary 46L08; Secondary 47A05, 46L05, 15A09 
Kamran Sharifi. Generic Properties of Module Maps and Characterizing Inverse Limits of C*-Algebras of Compact Operators. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a19/
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     author = {Kamran Sharifi},
     title = {Generic {Properties} of {Module} {Maps} and {Characterizing} {Inverse} {Limits} of {C*-Algebras} of {Compact} {Operators}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a19/}
}
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