RMC - Vol. 2, supplementary - R. M. Aron/J. Globevnik

Full paper in PDF:
$% R. M. Aron and J. Globevnik, Analytical functions on c₀, Rev. Mat. Univ. Complut. Madrid 2 (1989), supplementary, 27–33.%$

Analytical Functions on c₀

Richard M. ARON and Josip GLOBEVNIK

Department of Mathematics Kent State University Kent, OH 44242 — USA	Institute of Mathematics University of Ljubljana 19 Jadranska 61000 Ljubljana — Yugoslavia

ABSTRACT

Let $F$ the space of continuous complex valued functions on a subset of $c0$ which contains the standard unit vector basis ${en}$ . Let $R :F --> CN$ the restriction map, given by $R(f) =(f(e1),...,f(en),...)$ . We characterize the ranges $R(F )$ for various “nice” spaces $F$ . For example, if $n F = P( c0)$ , then $R(F) =l1$ , and if $F = A oo (B(c0))$ , then $R(F)= l oo$ .

1980 Mathematics Subject Classification (1985 revision): 46E15, 46G20.