Yasin KAYA

On Closed Subspaces of Grand Lebesgue Spaces

Yayın Aralığı: 4
Başlangıç: 2012
Yayıncı: Bitlis Eren Üniversitesi Rektörlüğü

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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