International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 5, Pages 315-326
doi:10.1155/S0161171200002532
Small bound isomorphisms of the domain of a closed ∗-derivation
Toshiko Matsumoto1
and Seiji Watanabe2
12-19-1143 Ikego Zushi, 249-0003, Japan
2Niigata Institute of Technology, 1719 Fujihashi, Kashiwazaki 945-1195, Japan
Abstract
The domain 𝒟(δ) of a closed ∗-derivation δ in C(K) (K: a compact Hausdorff space) is a generalization of the space C(1)[0,1] of differentiable functions on [0,1]. In this paper, a problem proposed by Jarosz (1985) is studied in the context of derivations instead of C(1)[0,1].