- Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
- Vol: 11 Issue: 4
- On Closed Subspaces of Grand Lebesgue Spaces
On Closed Subspaces of Grand Lebesgue Spaces
Authors : Yasin Kaya
Pages : 1014-1017
Doi:10.17798/bitlisfen.1150947
View : 12 | Download : 9
Publication Date : 2022-12-31
Article Type : Research
Abstract :We 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 must be finite dimensional. By using embeddings of Banach spaces and we work inside space . Then we take advantage of many useful properties of Hilbert space.Keywords : Grand Lebesgue spaces, Embeddings, Hilbert spaces