Abstract
We study the extremal structure of the dual unit balls of various operator spaces. Mainly, we show that the classes of [w*-] strongly exposed, [w*-] exposed, and denting points in the dual unit balls of spaces of compact operators between Banach spacesX andY are completely — and in a canonical way — determined by the corresponding classes of points in the unit balls of the (bi-)duals of the factor spacesX andY. Applications to the duality of operator spaces and differentiability properties of the norm in operator spaces are given.
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Ruess, W.M., Stegall, C.P. Exposed and denting points in duals of operator spaces. Israel J. Math. 53, 163–190 (1986). https://doi.org/10.1007/BF02772857
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DOI: https://doi.org/10.1007/BF02772857