I've decided to note this information for future reference.
Standard for Interchange of USENET Messages
http://www.ietf.org/rfc/rfc1036.txt
Sample
User: John Doe
E-mail Address: jdoe@aaas.org
Valid E-mail Syntax Forms:
John Doe
"John Doe"
Notes
According to the RFC, cases one and two do not need the angle brackets. Unfortunately, a lot of mail servers return errors if these are not used. The safest choice is to use the angle brackets in all cases.
Case four is not part of the RFC but seems to be a supported standard.