A note on symmetrical symplectic capacities

Abstract

For a convex domain in the standard Euclidean symplectic space which is invariant under a linear anti-symplectic involution $\tau$ we show that its Ekeland-Hofer-Zehnder capacity is equal to the $\tau$-symmetrical symplectic capacity of it.

This note is withdrawn because there is a mistake in the proof of Theorem~1.1