Convergence in the generalized sense relative to Banach algebras of operators and in LMC-algebras
Studia Mathematica, Tome 115 (1995) no. 1, p. 87.

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The notion of convergence in the generalized sense of a sequence of closed operators is generalized to the situation where the closed operators involved are affiliated with a Banach algebra of operators. Also, the concept of convergence in the generalized sense is extended to the context of a LMC-algebra, where it applies to the spectral theory of the algebra.
Classification : 47A10, 46H05
Mots-clés : convergence in the generalized sense, spectral theory, LMC-algebra, closed operators, affiliated with a Banach algebra of operators 
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     author = {Bruce Barnes},
     title = {Convergence in the generalized sense relative to {Banach} algebras of operators and in {LMC-algebras}},
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Bruce Barnes. Convergence in the generalized sense relative to Banach algebras of operators and in LMC-algebras. Studia Mathematica, Tome 115 (1995) no. 1, p. 87. https://geodesic-test.mathdoc.fr/item/STUMA_1995__115_1_216200/