Here little longish version with check for quote without pair. Only deals with one style of start and end string (adaptable for example for example start,end='()')
start, end = '"', '"'
for test in ('Hello "world this is" atest',
'This is a string with some " text inside in quotes."',
'This is without quote.',
'This is sentence with bad "quote'):
result = ''
while start in test :
clean, _, test = test.partition(start)
clean = clean.replace(' ','') + start
inside, tag, test = test.partition(end)
if not tag:
raise SyntaxError, 'Missing end quote %s' % end
else:
clean += inside + tag # inside not removing of white space
result += clean
result += test.replace(' ','')
print result