"I was my daughter's age when we worked together, I was five, and I remember just holding her hand and saying goodbye at the end of the week," Sweetin, 34, told PEOPLE. "But I also grew up watching her and it's always sad to lose someone that has been a part of our lives in that way."
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Sweetin wasn't the only one of Roberts' co-stars who remembered the actress fondly. Two of her Everybody Loves Raymond co-stars, Ray Romano and Patricia Heaton, who spent years starring alongside Roberts on the much-loved sitcom, shared their own sentiments.
"Truly the end of an era. My wonderful TV mother-in-law and ELR nemesis Doris Roberts was a consummate professional from whom I learned so much," Heaton said in a lengthy statement posted on Twitter. "She was funny and tough and loved life, living it to the fullest."
Roberts' son Michael Cannata confirmed Monday that his mother died in her sleep of natural causes.