On the numerical range of operators on locally and on \(H\)-locally convex spaces. (English) Zbl 0806.47003
Summary: The spatial numerical range for a class of operators on locally convex space was studied by J. R. Giles, G. Joseph, D. O. Koehler and B. Sims in [J. Aust. Math. Soc., Ser. A 20, 468-482 (1975; Zbl 0312.47002)]. The purpose of this paper is to consider some additional properties of the numerical range on locally convex and especially on H-locally convex spaces.
MSC:
| 47A12 | Numerical range, numerical radius |
| 46A13 | Spaces defined by inductive or projective limits (LB, LF, etc.) |
| 46A19 | Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.) |
