Conversation so far:
Who did Arthur Miller marry after his first wife?
In June 1956, Miller left his first wife, Mary Slattery, whom he married in 1940, and married film star Marilyn Monroe.
How did Arthur Miller's relationship with Marilyn Monroe start?
They had met in 1951, had a brief affair, and remained in contact since.
How did the Arthur Miller Foundation start?
The Arthur Miller Foundation was founded to honor the legacy of Miller and his New York City Public School Education.
What is Arthur Miller's legacy besides his foundation?
Arthur Miller's career spanned over seven decades, and at the time of his death, Miller was considered to be one of the greatest dramatists of the twentieth century.

Question: Why was this important to miller?
Self-contained rewrite: Why was Arthur Miller Theatre being the only theatre in the world that bears Miller's name important to Miller?