PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Series B, v.5, no., pp.1 - 5
AMER MATHEMATICAL SOC
Let (G, H) be (Ham(R2n), Ham(B2n)) or (B∞, Bn). We conjec-
ture that any semi-homogeneous subset-controlled quasimorphism on [G, G] can be extended to a
homogeneous subset-controlled quasimorphism on G and also give a theorem supporting this conjecture c.2018 by the author under Creative Commons Attribution-Noncommercial 3.0 License
by using a Bavard-type duality
theorem on conjugation invariant norms.