On Closed Subspaces of Grand Lebesgue Spaces

Year 2022, Volume: 11 Issue: 4, 1014 - 1017, 31.12.2022

Yasin Kaya

https://doi.org/10.17798/bitlisfen.1150947

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

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