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
Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website
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
@article{BMMS_2013_36_2_a19,
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/}
}
TY - JOUR AU - Kamran Sharifi TI - Generic Properties of Module Maps and Characterizing Inverse Limits of C*-Algebras of Compact Operators JO - Bulletin of the Malaysian Mathematical Society PY - 2013 VL - 36 IS - 2 UR - http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a19/ ID - BMMS_2013_36_2_a19 ER -
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/