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 -