Coproximinality for Quotient Spaces

  • T.S.S.R.K. Rao

    Indian Statistical Institute, Bangalore, India


In this paper we study the classical notion of coproximinality, for quotient spaces of Banach spaces. We provide a partial solution to the three space problem, analogous to a classical result of Cheney and Wulbert, by showing that for , coproximinality of in and that of in implies the coproximinality of in , when is an -ideal in . For the space of continuous functions on a compact extremally disconnected set we derive the same conclusion under the assumption that is an -ideal in .

Cite this article

T.S.S.R.K. Rao, Coproximinality for Quotient Spaces. Z. Anal. Anwend. 36 (2017), no. 2, pp. 151–157

DOI 10.4171/ZAA/1583