formal/afp/Banach_Steinhaus/document/root.tex

\documentclass[11pt,a4paper]{article}
\usepackage[T1]{fontenc}
\usepackage{isabelle,isabellesym}
\usepackage{amsmath,amssymb}

%this should be the last package used
\usepackage{pdfsetup}

% urls in roman style, theory text in math-similar italics
\urlstyle{rm}
\isabellestyle{it}

\begin{document}

\title{Banach-Steinhaus theorem}
\author{Dominique Unruh \and Jos\'e Manuel Rodr\'iguez Caballero}
\maketitle

\begin{abstract}
We formalize in Isabelle/HOL a result \cite{Weisstein_UBP} due to S. Banach and H. Steinhaus \cite{banach1927principe} known as Banach-Steinhaus theorem or Uniform boundedness principle: a pointwise-bounded family of continuous linear operators from a Banach space to a normed space is uniformly bounded. Our approach is an adaptation to Isabelle/HOL of a proof due to A. Sokal \cite{sokal2011really}.
\end{abstract}

\tableofcontents

\input{session}


\bibliographystyle{abbrv}
\bibliography{root}

\end{document}