House Richese is a fictional noble family from the Dune universe created by Frank Herbert, though the family does not appear in Frank Herbert's work. Their homeworld is the planet Richese, which is described thus in the glossary of Dune:
Before the events of the Prelude to Dune series, Count Ilban Richese married Edwina Corrino, daughter of Padishah Emperor Elrood IX, in 10,090 A.G. Born in 10,070, Edwina was Elrood's child by his second wife, Yvette Hagal. The Count and Edwina had eleven children — six sons and five daughters — one of whom, Helena (b. 10,095), married Duke Paulus Atreides in 10,114. Paulus and Helena's son, Leto I Atreides, was born in 10,140 and was, of course, the father of Paul Atreides. Edwina herself died in 10,123.
In Dune: House Atreides Paulus says that Ilban "had a large family and spent more time with his offspring than watching his business interests. Not surprisingly, his children grew up pampered, and his fortunes fizzled away." It is also mentioned that Helena was unwilling to take Leto to visit her remaining relatives, due to the shame and embarrassment it would bring upon her, of past memories she was trying to forget about her family's history.
Though Richese was a Synchronized World under thinking machine control during the Butlerian Jihad, 10,000 years later it had become home to the wealthy House Richese.
Prior to the events of the Prelude to Dune series, House Richese had taken over the valuable melange production operations of the planet Arrakis, the only known source of the all-important spice. However, the vast expenses required for the harvesting of the spice — combined with an economic war with the more advanced House Vernius of Ix — had bankrupted House Richese. After being ousted from the planetary governorship of Arrakis (and replaced by the Harkonnens), House Richese had salvaged some of its respectability through arranged marital alliances with other Houses (Helena's marriage to Paulus Atreides among them).