Man, the misinformation given on this website
("Man?" Lemme guess ...)
OP, little things depend upon other little things such as whether employee handbooks state that a two week notice prior to resignation is requested and agreed upon; or, if at point of hire something was "signed" between employee and employer.
All that you are stating is that you gave "your" two weeks notice.
Were it THAT easy to obtain free money everyone would give "two week," or maybe even 17 week, notices.
If nothing was stipulated at point of hire, collecting UI might be a little tough. As previously suggested, ask DLSE anyway. Or, ask an attorney familiar with State law and YOUR specific position.