i.e. A Delta Air Lines 737-800 = A Delta Air Lines E-175 operated by Shuttle America.

i.e. A Delta Air Lines 737-800 flown by Delta Air Lines pilots, served by Delta Air Lines flight attendants, dispatched by Delta Air Lines dispatchers, maintained by Delta Air Lines mechanics, serviced by Delta Air Lines ground personnel, boarded by Delta Air Lines gate agents = A Delta Air Lines E-175 operated by Shuttle America, a subsidiary of Republic Airways Holdings who also owns Frontier Airlines, flown by Chautauqua pilots, served by Shuttle America flight attendants?, dispatched by.... I get confused with them. Who runs that place again?