TY - JOUR A2 - Martin, Miguel AU - Jayanarayanan, C. R. PY - 2013 DA - 2013/10/10 TI - Intersection Properties of Balls in Banach Spaces SP - 902694 VL - 2013 AB - We introduce a weaker notion of central subspace called almost central subspace, and we study Banach spaces that belong to the class (GC), introduced by Veselý (1997). In particular, we prove that if Y is an almost central subspace of a Banach space X such that Y is in the class (GC), then Y is a central subspace of X**. We also prove that if Y is a semi M-ideal in a Banach space X such that Y is an almost central subspace of X**, then Y is an M-ideal in X. Certain stability results for quotient spaces, injective tensor product spaces, and polyhedral direct sums of Banach spaces are also derived. SN - 2314-8896 UR - https://doi.org/10.1155/2013/902694 DO - 10.1155/2013/902694 JF - Journal of Function Spaces and Applications PB - Hindawi Publishing Corporation KW - ER -