Talk:Banach space

• in the definition of the quotient norm : added missing subscript to LHS ($Y$ becomes $Y_1$)
• in relationship relating the convexity modulus of a Banach space $X$ and the smoothness modulus of $X^*$ : replaced $\epsilon(\tau)$ by $\epsilon\tau$, since the former suggests a non-existent functional dependance (see, for example, Lemma 9.8 of Banach Space Theory: The Basis for Linear and Nonlinear Analysis By Marián Fabian, Petr Habala, Petr Hajek, Vicente Montesinos, Václav Zizler.
• in equation (*) : added missing subscript ($x\in X$ becomes $x_k\in X$)