Whenever the proprietor or manager of any hotel provides a safe or vault in a convenient place, for the safe keeping of any money, jewels, ornaments, bank notes, bonds, negotiable security, or other valuable papers, precious stones, railroad tickets, articles of silver or gold, or any other valuable property and personal effects of small compass, belonging to or brought in by the guests of such hotel, and notifies the guests thereof by posting notices in not less than 10 conspicuous places in such hotel stating the fact that such safe place is provided in which such articles may be deposited, if such guests neglect or fail to deliver such property to the person in charge of such safe or vault for deposit therein, then the liability of such hotel, the proprietor or manager thereof, for any and all loss or damage to such property or effects sustained by such guest is limited to such loss or damage as may result from the fault or negligence of such proprietor or manager or of his agents or employees, but in no event is such hotel, the proprietor or manager thereof, liable for loss or damage in an amount exceeding $250, regardless of whether such loss or damage is occasioned by theft, the fault or negligence of such proprietor or manager or of his agents or otherwise. If such guests deliver such property to the person in charge of such safe or vault for deposit therein, such hotel, the proprietor or manager thereof, is not liable for the loss of or damage to such property sustained by such guest or other owner thereof in any amount exceeding the sum of $500, regardless of whether such loss or damage is occasioned by theft, the fault or negligence of such proprietor or manager or his agents or employees or otherwise, notwithstanding such property may be of greater value, unless such proprietor or manager has entered into a special agreement in writing with the guest agreeing to assume additional liability.