Exposed Operators in B(C(X),C(Y))\mathcal B (C(X), C(Y))

  • Ryszard Grząślewicz

    Wrocław University of Technology, Wroclaw, Poland


A point q0q_0 in a convex set QQ is exposed if there exists a bounded linear functional ξ\xi such that ξ(q0)\xi(q_0) for all qQ {q0}q \in Q\ \{q_0\}. Characterizations of exposed points of the unit ball and the positive part of the unit ball of B(C(X),C(Y))\mathcal B (C(X), C(Y)) are given. We describe the set of strongly exposed points. We also consider exposed operators on L^\{infty}- and L1L^1-spaces.

Cite this article

Ryszard Grząślewicz, Exposed Operators in B(C(X),C(Y))\mathcal B (C(X), C(Y)). Z. Anal. Anwend. 10 (1991), no. 4, pp. 433–438

DOI 10.4171/ZAA/465