In the case of Green et al. v. United States in 1957, the Supreme Court ruled on an issue related to double jeopardy and capital punishment. The defendant, Green, was initially charged with both first-degree murder and arson but was only found guilty of arson by a jury. However, after appealing his conviction successfully due to a technical error during his trial process, he was retried for both charges again - this time being convicted of first-degree murder which carried a death sentence. Green appealed this decision arguing that it violated the Fifth Amendment's Double Jeopardy Clause as he had already been acquitted for the charge of first-degree murder in his initial trial. The Supreme Court agreed with him stating that retrying him on a charge he had previously been acquitted from constituted double jeopardy even if it occurred within one continuous court proceeding or judicial session. The ruling clarified that once an individual has been acquitted from any given offense they cannot be tried again for that same offense regardless if new evidence emerges or there were errors made during their original trial proceedings.

In the dissenting opinion for Green et al. v. United States, Justice Black argued that the majority's decision violated the Double Jeopardy Clause of the Fifth Amendment by allowing a defendant to be tried twice for essentially the same crime. He contended that when Green was initially acquitted of first-degree murder but convicted of second-degree murder in his first trial, it should have been considered as an implicit acquittal on all charges related to first-degree murder due to lack of evidence supporting such conviction. Therefore, retrying him on this charge after he successfully appealed his second-degree murder conviction constituted double jeopardy according to Justice Black's interpretation. The justice also expressed concern about potential abuses and unfairness resulting from permitting prosecutors multiple attempts at securing convictions for more serious offenses after initial failures.