Show that in a linear space X with equivalent norms ∥ . . . ∥a and ∥ . . . ∥b holds: A sequence (xn)n from X converges t
Posted: Fri Jul 01, 2022 5:28 am
Show that in a linear space X with equivalent norms ∥ .. . ∥a and ∥ . . . ∥b holds:A sequence (xn)n from X converges to y ∈ Xwith respect to ∥ . . . ∥a if and only if this is thecase with respect to ∥ . . .∥b.