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Jamjoom, F. B.H. Department of Mathematics, Faculty of Science, King Saud University
Jebreen, H. M. Department of Mathematics, Faculty of Science, King Saud University
We generalize the concept of locality (resp. colocality) to the concept of locally factorable (resp. colocally factorable) such that Theorem 2 of  and Theorems 1.7 and 1.16 of  are still valid for the new concepts. In addition we show that locally factorable and colocally factorable are inherited by complemented subspace, then we present some examples and establish relations between locally factorable and colocally factorable. We prove some relations between being finitely (resp. cofinitely) represented in a Banach space and being locally factorable (resp. colocally factorable) some family of finite dimensional Banach spaces.
Mathematical Journal of Okayama University
Department of Mathematics, Faculty of Science, Okayama University