California State University faculty began voting Monday on whether to authorize their union to strike after 22 months of talks over salary, class sizes and other issues stalled. An affirmative vote could result in two-day rolling strikes at the 23 campuses, most likely beginning in the fall, according to California Faculty Assn. officials. The union represents 23,000 Cal State professors, lecturers, librarians, counselors and coaches at the public university system. The vote comes as Cal State has suffered severe cuts in state funding — $750 million this fiscal year with the potential for an additional $200-million reduction next year if voters fail to approve a tax initiative backed by the governor on the November ballot. The Cal State system has raised tuition, offered fewer courses and turned away thousands of students. The union, which said the faculty haven't received raises since 2007, is asking for 1% pay increases for each year of the new contract, more control over class sizes and greater stability for faculty with temporary contracts, among other proposals.