Geodesic
Convergence in the generalized sense relative to Banach algebras of operators and in LMC-algebras
Studia Mathematica, Tome 115 (1995) no. 1, pp. 87-103

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-115-1-87-103
Keywords: convergence in the generalized sense, spectral theory, LMC-algebra

Bruce A. Barnes 1

1 
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Bruce A. Barnes. Convergence in the generalized sense relative to Banach algebras of operators and in LMC-algebras. Studia Mathematica, Tome 115 (1995) no. 1, pp. 87-103. doi: 10.4064/sm-115-1-87-103

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