Sounds like you’d want to use this: http://codex.wordpress.org/Function_Reference/wp_get_object_terms
If you’re using a custom taxonomy, add that where it says “post_tag”.
unset($tags);
foreach(wp_get_object_terms($post->ID, 'post_tag') as $tag) :
$tags .= ' ' . $tag->name;
endforeach;
And then add it to your anchor tag:
<a href="https://wordpress.stackexchange.com/questions/36707/<?php the_permalink(); ?>" title="View Item" class="product_view_sm<?php echo $tags; ?>">..View Item..</a>