Geodesic
Support Points of the Class of Close-to-Convex Functions
Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 177-179

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Let H(U) be the linear space of holomorphic functions on U = {z:|z|<1} endowed with the topology of compact convergence, and denote by H′(U) its topological dual space. Let be a compact subset of H(U) and ƒ∈F. We say ƒ is a support point of if there exists an L∈H'(U), non-constant on , such that On the other hand, ƒ is an extreme point of if ƒ is not a proper convex combination of two other points of . 
Grassmann, E.; Hengartner, W.; Schober, G. Support Points of the Class of Close-to-Convex Functions. Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 177-179. doi: 10.4153/CMB-1976-027-8
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     title = {Support {Points} of the {Class} of {Close-to-Convex} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {177--179},
     year = {1976},
     volume = {19},
     number = {2},
     doi = {10.4153/CMB-1976-027-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-027-8/}
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