In the case of Lake Tankers Corp. v. Henn, Administratrix (1956), the United States Supreme Court ruled on a matter concerning maritime law and jurisdictional issues between state and federal courts. The plaintiff, Mrs. Henn, filed a wrongful death suit in New York State court against Lake Tankers Corporation following her husband's death aboard one of their vessels due to alleged negligence by the company. However, Lake Tankers argued that under Section 1333(1) of Title 28 U.S.C., which grants exclusive jurisdiction over admiralty or maritime cases to federal courts, this lawsuit should be dismissed from state court. The Supreme Court held that while federal courts have exclusive original jurisdiction over civil cases involving admiralty or maritime matters as per Section 1333(1), it does not exclude any existing remedy available in state court for wrongful death claims arising out of such incidents under 'saving-to-suitors' clause present in same section itself - thus allowing concurrent jurisdiction for these types of claims at both levels. Therefore, despite being an admiralty case typically within the purview of federal courts only; Mrs.Henn was allowed to proceed with her claim at a state level.

In the dissenting opinion for Lake Tankers Corp. v. Henn, Justice Frankfurter argued that the majority's decision was inconsistent with previous rulings and undermined federal maritime law by allowing state courts to exercise jurisdiction over cases involving seamen injured on navigable waters within a state's boundaries. He contended that such matters should be exclusively under federal jurisdiction as per Article III of the Constitution which grants Congress power to regulate commerce among states and with foreign nations, including navigation. Furthermore, he expressed concern about potential confusion and inconsistency resulting from different states applying their own laws in these cases instead of uniform federal maritime law being applied nationwide. This could lead to uncertainty for ship owners regarding liability rules they must follow in each state where they operate or dock their vessels.