Some results in Generalized Šerstnev spaces
arXiv:math/0502053
Abstract
In this paper, we show that D-compactness in Generalized Šerstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic Generalized Šerstnev is not D-compact in general. Finally, in the finite dimensional Generalized Šerstnev spaces a subset is D-compact if and only if is D-bounded and closed.
5 pages