On Closed Subspaces of Grand Lebesgue Spaces

Authors : Yasin KAYA

Pages : 1014-1017

Doi:10.17798/bitlisfen.1150947

View : 12 | Download : 13

Publication Date : 2022-12-31

Article Type : Research Paper

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