Abstract:The spatial numerical range for a class of operators on locally convex space was studied by Giles, Joseph, Koehler and Sims in [3]. The purpose of this paper is to consider some additional properties of the numerical range on locally convex and especially on $\text {H}$-locally convex spaces.
Keywords: locally convex space, $\text {H}$-locally convex space, numerical range, spectrum
AMS Subject Classification: 47A12, 46A13, 46A19