Kaya, Yasin2023-02-242023-02-242022Kaya, Y. (2022). On closed subspaces of grand lebesgue spaces. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 11(4), 1014-1017.2147-31882147-3129https://search.trdizin.gov.tr/tr/yayin/detay/1148204https://hdl.handle.net/11468/11264https://search.trdizin.gov.tr/yayin/detay/1148204We prove a generalized version of a theorem of Grothendieck over finite measure space. We prove a closed subspace of grand Lebesgue space that consist of functions of L  must be finite dimensional. By using embeddings of Banach spaces ( ) ( ) ) , p p L L   and ( ) 2 L  we work inside space ( ) 2 L  . Then we take advantage of many useful properties of Hilbert space.eninfo:eu-repo/semantics/openAccessGrand lebesgue spacesEmbeddingsHilbert spacesArticle11410141017114820410.17798/bitlisfen.1150947