It is haraam for a man to shake hands with a non-mahram woman in the Maaliki madhhab

I want to know in what reference it says that Imam Maalik forbade a
man to shake hands with a non-mahram woman.
There is an opinion which says that there are four possible scenarios,
and in only one is it regarded as haraam for a man to shake hands with
a non-mahram woman. These four scenarios are: when the one who is
shaking hands does it for the sake of pleasure and finds pleasure in
it; when he does it for the sake of pleasure but does not find
pleasure in it; when he does not do it for the sake of pleasure but
finds pleasure in it; and when he doesnot do it for the sake of
pleasure and does not find pleasure in it.
Who is the author of this opinion? Does he belong to the Maaliki madhhab?.
Praise be to Allaah.
Firstly:
In Mukhtasar al-Akhdari and other Maaliki books there is an indication
that it is haraam to shake hands with a non-mahram woman according to
the madhhab of Maalik (may Allah have mercy on him).
'Aleesh said in Minah al-Jaleel Sharh Mukhtasar Khaleel (1/22): It is
not permissible for a man totouch the face or hand of a non-mahram
woman, and it is not permissible for them to put their hands together
without a barrier. 'Aa'ishah (may Allah be pleased with her) said: The
Prophet (blessings and peace of Allah be upon him) never accepted the
oath of allegiance (bay'ah) of a woman by holdingher hand; he would
accept women's oath of allegiance verbally. According to another
report: His hand never touched the hand of a woman; rather he would
accept their oath of allegiance verbally. End quote.
Secondly:
The details that you mentioned have to do with losing wudoo' by
touching; wudoo' is broken in the event of seeking pleasure,or finding
pleasure (even if he was not seeking it), or seeking itand finding it.
Wudoo' is not broken when one does not seekpleasure or find it.
The prohibition is connected to doing it deliberately, whether there
is pleasure or not.

And Allah knows best.