AMS article section headings in sans-serif

Question

I want to produce an AMS article document using only a sans-serif font. The following almost achieves this:

\documentclass{amsart}
\renewcommand{\familydefault}{\sfdefault}

...

However, section headings are still typeset in roman. How can I get also the section headings in the standard sans-serif font?

Answer 1

Your problem is that the class does

\def\section{\@startsection{section}{1}%
  \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}%
  {\normalfont\scshape\centering}}

and the default font set does not have small caps sans serif. If you want sans serif you either need to change fonts or disable small caps

 \let\scshape\relax

is a blunt instrument, but probably effective in this case.