At issue were arguments by attorneys for 58-year-old Anthony Sowell (SOH'-wehl) that he had poor legal assistance from the attorneys handling his case before the court.
Sowell's current attorneys say his past lawyers should have brought forth a recent U.S. Supreme Court decision that found Florida's death penalty sentencing law unconstitutional.
Prosecutors argued against reopening the case. The state high court rejected Sowell's request without comment Wednesday.
The Ohio public defender's office represented Sowell and has declined to comment.
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