According to the content and examples in the RFC (RFC 4514 - Lightweight Directory Access Protocol (LDAP): String Representation of Distinguished Names), spaces are allowed and no quotes are needed (although leading/trailing spaces do need to be escaped.
Does anyone know that if there are spaces in the connection name field, are quotes needed?  CN=iiii\, jjjj,OU.........  thanks MB
LDAP configuring in ViPR SRM