TY - JOUR AU - GarcĂ­a-Pacheco, F.J. AU - Seoane-SepĂșlveda, Juan B. PY - 2006 DO - 10.1007/s10114-005-0726-y SN - 1439-8516 UR - https://hdl.handle.net/20.500.14352/50492 T2 - Acta Mathematica Sinica, English Series AB - We show that there exists an infinite dimensional vector space every non-zero element of which is a non-measurable function. Moreover, this vector space can be chosen to be closed and to have dimension beta for any cardinality beta. Some techniques... LA - eng M2 - 1805 PB - Springer Heidelberg KW - Lineability KW - Spaceability Non-measurable functions KW - Density character TI - Vector spaces of non-measurable functions TY - journal article VL - 22 ER -