Geodesic
Modular Annihilator, A *-Algebras
Canadian mathematical bulletin, Tome 15 (1972) no. 3, pp. 421-426

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DOI

We find several equivalent conditions for an A *-algebra with dense socle to be completely continuous. Such an A *-algebra is modular annihilator [10]. We also study modular annihilator A *-algebras with the weak (βk)-property and obtain a necessary and sufficient condition for such algebras to be dual. 
Tomiuk, B. J. Modular Annihilator, A *-Algebras. Canadian mathematical bulletin, Tome 15 (1972) no. 3, pp. 421-426. doi: 10.4153/CMB-1972-076-0
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     author = {Tomiuk, B. J.},
     title = {Modular {Annihilator,} {A} {*-Algebras}},
     journal = {Canadian mathematical bulletin},
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     year = {1972},
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     number = {3},
     doi = {10.4153/CMB-1972-076-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-076-0/}
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