# A note on Banach spaces $E$ admitting a continuous map from $C_p(X)$ onto $E_{w}$

@inproceedings{Kcakol2021ANO, title={A note on Banach spaces \$E\$ admitting a continuous map from \$C\_p(X)\$ onto \$E\_\{w\}\$}, author={Jerzy Kcakol and Arkady Leiderman and Artur Michalak}, year={2021} }

Cp(X) denotes the space of continuous real-valued functions on a Tychonoff space X endowed with the topology of pointwise convergence. A Banach space E equipped with the weak topology is denoted by Ew. It is unknown whether Cp(K) and C(L)w can be homeomorphic for infinite compact spaces K and L [14], [15]. In this paper we deal with a more general question: what are the Banach spaces E which admit certain continuous surjective mappings T : Cp(X) → Ew for an infinite Tychonoff space X? First, we… Expand

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