\documentclass[minion]{homework}
\newcommand{\Reals}{\mathbb{R}}

\doclabel{Math F651: Homework 4}
%\docauthor{Your name here.}
\docdate{Due: March 7, 2018}
\begin{document}
\begin{aproblems}

\hproblem Suppose $T:X\rightarrow Y$ is continuous and has
a continuous inverse.  Show that if one of $X$ or $Y$ is a Banach
space, the other must be as well.

\hproblem R \& Y 4.6

\hproblem R \& Y 4.13

\hproblem R \& Y 4.17

\hproblem R \& Y 4.18

\hproblem R \& Y 4.19

\hproblem R \& Y 4.21 (Hint: You first need to show that the map from $\ell^1$ to $\Reals$ is continuous.  Look at Corollary 4.53.)

\end{aproblems}
\end{document}

