State whether or not a trust is created in each of the following situations:
(a) A declares herself trustee of "the bulk of my securities" in trust for B. Please explain.
(b) A, the owner of Blackacre, purports to convey to B in trust for C "a small part" of Blackacre. Please explain.
(c) A deposits $100,000 in a savings bank. He declares himself trustee of the deposit in trust to pay B $50,000 out of the deposit, reserving the power to withdraw from the deposit any amounts not in excess of $50,000. Please explain.