Geodesic
On the η Function of Brown and Pearcy and the Numerical Function of an Operator
Canadian journal of mathematics, Tome 23 (1971) no. 4, pp. 565-578

Voir la notice de l'article provenant de la source Cambridge University Press

Throughout this paper will denote an infinite dimensional, separable complex Hilbert space, and will denote the unit sphere of (i.e. ). Also will represent the algebra of all bounded linear operators on , and will represent the ideal of all compact operators on . Furthermore will denote the set of all (orthogonal) projections on and will denote the sublattice of consisting of all finite rank projections. In most of the cases (especially when limits are involved) will be regarded as a directed set with the usual order relation inherited from . 
Salinas, Norberto. On the η Function of Brown and Pearcy and the Numerical Function of an Operator. Canadian journal of mathematics, Tome 23 (1971) no. 4, pp. 565-578. doi: 10.4153/CJM-1971-064-2
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