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math.OA2001
The ideal envelope of an operator algebra
David P. Blecher, Masayoshi Kaneda
A left ideal of any C*-algebra is an example of an operator algebra with a right contractive approximate identity (r.c.a.i.). Conversely, we show here and in a `pre-quel' to this p…
math.OA2001
Characterizations of essential ideals as operator modules over C*-algebras
Masayoshi Kaneda, Vern Ival Paulsen
In this paper we give characterizations of essential left ideals of a C*-algebra in terms of their properties as operator -modules. Conversely, we seek C*-algebraic characte…