Kenmore Refrigerators that use filter # 9005 | 9006 are made by Maytag and use the UKF8001AXX filter.

UKF8001AXX  Maytag PuriClean II Refrigerator Water Filter Cartridge

The UKF8001AXX Amana | Maytag PuriClean II (sometimes called Puri Clean) refrigerator water filter fits Maytag, Amana and Jenn-Air refrigerators with a water filter that pulls down from the ceiling of the fresh food section. The Amana | Maytag | Jen-Air UKF8001AXX refrigerator water filter reduces lime scale buildup, chlorine, dirt and rust in your water and ice. The UKF8001AXX filter is NSF Certified and retains the beneficial fluoride in your water.
The UKF8001AXX refrigerator water filter is also used on refrigerators with an interior water dispenser and a bottom freezer including KitchenAid and the three door Kenmore "596" series.
The UKF8001AXX refrigerator water filter is a direct replacement for the following water filters:

Amana refrigerator water filters:
12589201, 12589203, 12589206, 12589208, 12589210

Kenmore refrigerator water filters:
46-9005, 46-9006, 469005, 469006, 9005, 9006, 9005P, 9006P, 469005, 469006, 46-9005, 46-9006, 9005-750, 469005750, 469005-750, 46-9005-750, 9006-750, 469006750, 469006-750, 46-9006-750, 46-4050, 46-7859

KitchenAid refrigerator water filters:4396395, 8171032, 8171249

NSF refrigerator water filters: WF50, OWF50, WF51, OWF51

Sears refrigerator water filters:04609005000, 04609006000