Geodesic
Compact well-bounded operators
Glasgow mathematical journal, Tome 43 (2001) no. 3, pp. 467-475

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Every compact well-bounded operator has a representation as a linear combination of disjoint projections reminiscent of the representation of compact self-adjoint operators. In this note we show that the converse of this result holds, thus characterizing compact well-bounded operators. We also apply this result to study compact well-bounded operators on some special classes of Banach spaces such as hereditarily indecomposable spaces and certain spaces constructed by G. Pisier. 
Qingping, Cheng; Doust, Ian. Compact well-bounded operators. Glasgow mathematical journal, Tome 43 (2001) no. 3, pp. 467-475. doi: 10.1017/S0017089501030087
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     title = {Compact well-bounded operators},
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