On the ideal of compact operators on a Hilbert C⁎-module

Ruofei Wang
Ruofei Wang
Changguo Wei
Changguo Wei

Journal of Mathematical Analysis and Applications, pp. 441-451, 2019.

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Abstract:

This note studies certain properties of the ideal K(E) consisting of compact operators on E, where E is a Hilbert C⁎-module over a C⁎-algebra A. It is proved that this ideal has σp-unit, simpleness, separability, real rank zero, and stable rank one under certain conditions. An counterexample is given to illustrate that two Hilbert C⁎-modu...More

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